stephan ramon garcia - pomona collegesg064747/misc/srg-curriculumvitae.pdf · stephan ramon garcia...

Stephan Ramon Garcia

W.M. Keck Distinguished Service Professor & Professor of Mathematics

[email protected]

http://pages.pomona.edu/~sg064747

January 27, 2020

EDUCATION

Ph.D. in Mathematics, University of California at Berkeley 2003

B.A. in Mathematics (high distinction), University of California at Berkeley 1997

EMPLOYMENT

W.M. Keck Distinguished Service Professor, Pomona College 2018-

Professor, Pomona College 2017-

Associate Professor, Pomona College 2011-2017

Assistant Professor, Pomona College 2006-2011

Visiting Assistant Professor, University of California at Santa Barbara 2003-06

Graduate Student Instructor, University of California at Berkeley 1997-2002

EXTERNAL RESEARCH GRANTS

National Science Foundation Research Grant DMS-1800123 2018-Title: “RUI: Opportunities in Operator Theory”Principal InvestigatorAmount: $179,998

National Science Foundation Research Grant DMS-1265973 2013-16Title: “RUI: Operators on Hilbert Space”Principal InvestigatorAmount: $199,017

National Science Foundation Research Grant DMS-1001614 2010-14Title: “RUI: Complex Symmetric Operators - Theory and Applications”Principal InvestigatorAmount: $164,890

National Science Foundation Research Grant DMS-0638789 2006-10Title: “Complex symmetric operators and function theory”Principal InvestigatorAmount: $90,274

1

http://pages.pomona.edu/~sg064747

Stephan Ramon Garcia – Curriculum Vitae (January 27, 2020) 2

INTERNAL RESEARCH GRANTS

David L. Hirsch III and Susan H. Hirsch Research Initiation Grant 2017-19Title: “Supercharacter Theory and its Applications”Principal InvestigatorAmount: $10,000

HONORS AND AWARDS

Member-at-Large, American Mathematical Society Council 2020-

Elected to Pi Mu Epsilon (National Mathematics Honor Society) 2019

Elected to Sigma Xi (Scientific Research Honor Society) 2019

Wig Distinguished Professor Award for Excellence in Teaching 2019 & 2009(college-wide teaching award), Pomona College

Dolciani Prize for Excellence in Research (American Mathematical Society) 2019

Fellow of the American Mathematical Society 2019

Senior Participant, Institute for Pure and Applied Mathematics (IPAM) 2018program on Quantitative Linear Algebra

Director’s Mathematician in Residence (DMiR), Budapest Semesters 2017in Mathematics (BSM) Program

Nominee, CASE U.S. Professors of the Year Award, Pomona College 2012

Nominee, CASE U.S. Professors of the Year Award, Pomona College 2011

Mochizuki Memorial Fund Award (departmental teaching award), 2005U.C. Santa Barbara

Outstanding Educator (campus-wide award), U.C. Santa Barbara 2004

Nikki Kose Memorial Teaching Prize (departmental award), U.C. Berkeley 2003

Outstanding Graduate Student Instructor Award (campus-wide award), 1999U.C. Berkeley

President’s Dissertation Year Fellowship, University of California 2002-03

Minority Graduate Fellowship, National Science Foundation 1997-2002

Chancellor’s Opportunity Fellowship, University of California 1997-2002

Incentives in Excellence Scholarship Prize, National Science Foundation 1995

Edward Frank Kraft Scholarship Prize, University of California 1993

Regents’ Scholarship, University of California 1992-96

Conrad and Marcel Schlumberger Scholarship, Schlumberger Corp. 1992

Erdos number: 2 (S.R. Garcia – F. Luca – P. Erdos & S.R. Garcia – G. Weiss – P. Erdos)

https://en.wikipedia.org/wiki/Erdos_number


PROFESSIONAL SERVICEProfessional Committees

MAA Invited Address Committee for the 2020 Joint Mathematics Meetings 2018

LACOL Course Sharing Exploratory Committee 2017-

Paul R. Halmos - Lester R. Ford Awards Committee (MAA) 2016-2019

Research Experiences for Undergraduate Faculty (REUF) Advisory Board 2014-

American Institute of Mathematics (AIM) Human Resources Board 2008-

College Mathematics Journal Editor Search Committee 2016-17

Editorial BoardsNotices of the American Mathematical Society 2019-

American Mathematical Monthly 2017-

Proceedings of the American Mathematical Society 2016-20

Annals of Functional Analysis 2013-20

Involve (undergraduate research journal) 2011-

Peer-ReviewNational Science Foundation (NSF), National Research Council (NRC) of Canada, European Mathemati-cal Society (EMS), Fields Institute, Cambridge University Press, National Research Foundation (NRF) ofSouth Africa, Research Grants Council (RGC) of Hong Kong, Annals of Mathematics, Linear Algebra and itsApplications, Electronic Journal of Linear Algebra, Journal of Mathematical Analysis and Applications, Bulletinof the Australian Mathematical Society, Banach Journal of Mathematical Analysis, Journal of Functional Anal-ysis, Mathematische Annalen, Proceedings of the American Mathematical Society, Transactions of the AmericanMathematical Society, American Mathematical Monthly, Operators and Matrices, International Journal of NumberTheory, Integral Equations and Operator Theory, Complex Analysis and Operator Theory, Journal of the LondonMathematical Society, Mediterranean Journal of Mathematics, Rocky Mountain Journal of Mathematics, Journal ofHumanistic Mathematics, Results in Mathematics, Asian–European Journal of Mathematics, Canadian Journal ofMathematics, IEEE Access, IEEE Signal Processing Letters, Mathematical Intelligencer, Pacific Journal of Mathe-matics, Arnold Mathematical Journal, Acta Arithmetica, Indian Journal of Mathematics, Problems, Resources, andIssues in Mathematics Undergraduate Studies (PRIMUS), Journal of Number Theory, (gold star reviewer) Annalsof Functional Analysis, Canadian Mathematical Bulletin, Linear and Multilinear Algebra, Bulletin of the LondonMathematical Society, Advances in Operator Theory, Complex Variables and Elliptic Equations, Israel Journal ofMathematics, Vietnam Journal of Mathematics, Applied Mathematics and Computation, Journal of ComputationalMethods in Sciences and Engineering, Analysis and Mathematical Physics, Indian Journal of Pure and AppliedMathematics, Arkiv der Mathematik, Annals of Physics, Portugaliae Mathematica, Computational Methods andFunction Theory, Indagationes Mathematica, Acta Mathematica Scientia, Journal of Function Spaces, Journal ofAnalysis, Special Matrices.

Conferences Organized

Co-organizer, AMS Special Session on Operators, Functions and Linear 2008Spaces, Claremont McKenna College

Co-organizer, AMS Special Session on Function Theory, 2005U.C. Santa Barbara


PUBLICATIONS

Books

1. Garcia, S.R., Mashreghi, J., Ross, W.T., Introduction to Model Spaces and Their Operators,Cambridge Studies in Advanced Mathematics, Cambridge University Press, 2016, 340 pp.MR3526203

2. Garcia, S.R., Horn, R.A., A Second Course in Linear Algebra, Cambridge Mathematical Text-books, Cambridge University Press, 2017, 442 pp.

3. Garcia, S.R., Horn, R.A., A Second Course in Linear Algebra: Solution Manual, CambridgeUniversity Press, 2018, 345 pp.

4. Garcia, S.R., Mashreghi, J., Ross, W.T., Finite Blaschke Products and Their Connections, Springer,2018, 328 pp. MR3793610

5. Garcia, S.R., Miller, S.J., 100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection,American Mathematical Society, 2019, 581 pp. MR3932127

6. Garcia, S.R., Fukshansky, L., Arithmetic from a Geometric Angle, in preparation.

7. Garcia, S.R., Mashreghi, J., Ross, W.T., Operator Theory by Example, in preparation.

Peer-reviewed Articles

Red boldface denotes an undergraduate student, blue boldface denotes a graduate student, green bold-face denotes a Claremont Colleges faculty member.

1. Eischen, E., Garcia, S.R., A gallery of Gaussian periods, in preparation (for the Proceedings ofBridges 2020).

2. Böttcher, A., Garcia, S.R., Omar, M., O’Neill, C., Weighted Means of B-Splines, Positivity ofDivided Differences, and Complete Homogeneous Symmetric Polynomials, submitted. https://arxiv.org/abs/2001.01658

3. Garcia, S.R., Lorenz, B. (’19), Todd, G., Bounding power moments of Gaussian periods (titletentative), in preparation.

4. Berryhill, J., Garcia, S.R., Karaali, G., Huber, M., Lohmann, A., Monsters, magic, and Markovchains: using probability models to make decisions in role-playing game (title tentative), in prepa-ration.

5. Garcia, S.R., Yu, J. (’23), Udell, G. (’21), Multidimensional density results for quotients of arith-metic functions near prime arguments (title tentative), in preparation.

6. Garcia, S.R., Tips for undergraduate research supervisors, J. Humanistic Math., in press.

http://www.cambridge.org/us/academic/subjects/mathematics/abstract-analysis/introduction-model-spaces-and-their-operators?format=HB

http://www.cambridge.org/us/academic/subjects/mathematics/algebra/second-course-linear-algebra?format=HB&isbn=9781107103818

https://www.springer.com/us/book/9783319782461

https://bookstore.ams.org/mbk-121

https://arxiv.org/abs/2001.01658



7. Garcia, S.R., Luca, F., Shi, K. (’21), Udell, G. (’21), Primitive root bias for twin primes II:Schinzel-type theorems for totient quotients and the sum-of-divisors function, J. Number Theory208 (2020), 400-417.

8. Garcia, S.R., Lateral movement in undergraduate research: case studies in number theory, Foun-dations for Undergraduate Research in Mathematics (eds. P. Harris, E. Insko, A. Wootton),Springer, in press.

9. Garcia, S.R., Patterson, M.O. (’19), Ross, W.T., Partially isometric matrices: a survey, submit-ted.

10. Garcia, S.R., Omar, M., O’Neill, C., Yih, S. (’18), Factorization length distribution for affinesemigroups II: asymptotic behavior for numerical semigroups with arbitrarily many generators, sub-mitted. https://arxiv.org/abs/1911.04575

11. Garcia, S.R., O’Neill, C., Omar, M., Wesley, T. (’21), Factorization length distribution for affinesemigroups III: modular behavior (title tentative), in preparation.

12. Donnay, C. (’18), Garcia, S.R., Rouse, J., p-adic quotient sets: quadratic forms, J. NumberTheory 201 (2019), 23-39. MR3958038

13. Aletheia-Zomlefer, S. (’18), Fukshansky, L., Garcia, S.R., The Bateman–Horn conjecture:heuristics, history, and applications, Expo. Math., in press.

14. Garcia, S.R., Karaali, G., Katz, D., On Chebotarëv’s nonvanishing minors theorem and the Biró–Meshulam–Tao discrete uncertainty principle, submitted.

15. Garcia, S.R., Horn, R.A., Block matrices in linear algebra, Problems, Resources, and Issues inMathematics Undergraduate Studies (PRIMUS), in press.

16. Garcia, S.R., Hu, J., Miller, S.J., Upper level mathematics and statistics courses shared acrosscampuses (invited book chapter), Teaching and Learning Mathematics Online, in press.

17. Garcia, S.R., Todd, G., Supercharacters, elliptic curves, and the sixth moment of Kloosterman sums,J. Number Theory 202 (2019), 316-331. MR3958076

18. Garcia, S.R., O’Neill, C., Yih, S. (’18),1 Factorization length distribution for affine semigroupsI: numerical semigroups with three generators, European J. Combinatorics 78 (2019), 190-204.MR3921068d

19. Chang, A. S.-Y., Cruz-Uribe, D., Doyle, J., Garcia, S.R., Remembering Donald Sarason (1933-2017), Notices Amer. Math. Soc., 65 (2018), no.2, 195-200. MR3751316

20. Garcia, S.R., Luca, F., Schaaff, T. (’17), Primitive root biases for prime pairs I: existence andnon-totality of biases, J. Number Theory 185 (2018), 93-120. MR3734344

1Samuel Yih (’18) earned the John Stauffer Scholarship for Academic Merit, Pomona College’s highest undergraduateresearch prize and the Goldwater Fellowship.



21. Garcia, S.R., Luca, F., On the difference in values of the Euler totient function near prime ar-guments, in “Irregularities in the Distribution of Prime Numbers: From the Era of HelmutMaier’s Matrix Method and Beyond” (edited by M. Rassias, J. Pintz), Springer (2018), 69-96.MR3822616

22. Garcia, S.R., Kahoro, E. (’20), Luca, F., Primitive root bias for twin primes, Exp. Math.28 (2019), no. 2, 151-160. MR3955807

23. Garcia, S.R., Yih, S. (’18), Supercharacters and the discrete Fourier, cosine, and sine transforms,Comm. Algebra 46 (2018), no. 9, 3745-3765. MR3820593

24. Garcia, S.R., What is. . . a complex symmetric operator?, Notices Amer. Math. Soc. 64 (2017),no.1, 35-37. MR3586250

25. Garcia, S.R., Linearly independent spanning sets, Amer. Math. Monthly 124 (2017), no. 8, 722.

26. Böttcher, A., Fukshansky, L., Garcia, S.R., Maharaj, H., Needell, D., Lattices from tightequiangular frames, Lin. Alg. Appl. 510 (2016), 395-420. MR3551640

27. Garcia, S.R., Hong, Y.-X. (’18), Luca, F., Pinsker, E. (’17), Sanna, C., Schechter, E. (’17), Starr,A. (’18), p-adic quotient sets, Acta Arith. 179 (2017), 163-184. MR3670202

28. Garcia, S.R., Sherman, D., Matrices similar to partial isometries, Lin. Alg. Appl., 526 (2017),no. 1, 35–41. MR3635862

29. Garcia, S.R., Sherman, D., Weiss, G., On the similarity of AB and BA for normal and othermatrices, Lin. Alg. Appl. 508 (2016), no. 1, 14-21. MR3542978

30. Garcia, S.R., Mashreghi, J., Ross, W.T., Finite Blaschke products: a survey, Harmonic Analysis,Function Theory, Operator Theory, and their Applications, Theta Ser. Adv. Math., ThetaFoundation (2017), 133-158. MR3753897

31. Damiano, D., Garcia, S.R., Intermont, M., Liberal arts colleges: an overlooked opportunity?,Notices Amer. Math. Soc. 63 no. 5, (2016), 565-570.

32. Garcia, S.R., Luca, F., Quotients of Fibonacci numbers, Amer. Math. Monthy. Amer. Math.Monthly 123 (2016), no. 10, 1039–1044. MR3593645

33. Garcia, S.R., Advanced linear algebra: a call for the early introduction of complex numbers, Prob-lems, Resources, and Issues in Mathematics Undergraduate Studies (PRIMUS), 27 (2017),no. 8-9, 856-868.

34. Garcia, S.R., Ross, W.T., Approaching Cauchy’s theorem, Problems, Resources, and Issues inMathematics Undergraduate Studies (PRIMUS), 27 (2017), no. 8-9, 758-765.

35. Garcia, S.R., Mashreghi, J., Ross, W.T., Real complex functions, Contemp. Math. 679 (2016),91-128. MR3589672

36. Böttcher, A., Eisenbarth, S., Fukshansky, L., Garcia, S.R., Maharaj, H., Spherical 2-designs andlattices from abelian groups, Discrete Comput. Geom. 61 (2019), no. 1, 123-135. MR3925547


37. Böttcher, A., Fukshansky, L., Garcia, S.R., Maharaj, H., Lattice theory and Toeplitz determi-nants, Operator Theory: Advances and Applications, 262 (2018), 117-138. MR3792242

38. Böttcher, A., Fukshansky, L., Garcia, S.R., Maharaj, H., Lattices from abelian groups, Ober-wolfach Technical Report, No. 3/2016, DOI: 10.4171/OWR/2016/3, p. 35-37.

39. Burkhardt, P. (’16), Currier, G. (’16), Garcia, S.R., de Langis, M. (’15), Lutz, B. (’13), Suh,H. (’16), An exhibition of exponential sums: visualizing supercharacters, Proceedings of Bridges2015: Mathematics, Music, Art, Architecture, Culture, 475-478.

40. Burkhardt, P. (’16), Chan, A. Z.-Y. (’14), Currier, G. (’16), Garcia, S.R., Luca, F., Suh, H.(’16), Visual properties of generalized Kloosterman sums, J. Number Theory 160 (2016), 237-253.MR3425206

41. Christenson, H. (’17), Garcia, S.R., G.H. Hardy: mathematical biologist, J. Humantist. Math.5 (2015), no. 2, 96-102. MR33787802

42. Garcia, S.R., Lutz, B. (’13), A supercharacter approach to Heilbronn sums, J. Number Theory186 (2018), 1-15. MR3758203

43. Böttcher, A., Fukshansky, L., Garcia, S.R., Maharaj, H., Lattices from Hermitian function fields,J. Algebra 447 (2016) 560-579. MR3427651

44. Garcia, S.R., Hyde, T., Lutz, B. (’13), Gauss’ hidden menagerie: from cyclotomy to supercharac-ters, Notices Amer. Math. Soc. 62 (2015), no.8, 878-888. MR3379072

45. Garcia, S.R., Martin, R., Ross, W., Partial orders on partial isometries, J. Operator Theory,75 (2016), no. 2, 101-134. MR3509136

46. Fukshansky, L., Garcia, S.R., Sun, X., Permutation invariant lattices, Discrete Mathematics338 (2015), 1536-1541. MR3336124

47. Böttcher, A., Fukshansky, L., Garcia, S.R., Maharaj, H., Toeplitz determinants with perturba-tions in the corners, J. Funct. Anal. 268 (2015), 171-193. MR3280056

48. Böttcher, A., Fukshansky, L., Garcia, S.R., Maharaj, H., On lattices generated by finite Abeliangroups, SIAM J. Discrete Math. 29 (2015), no. 1, 382-404. MR3311869

49. Garcia, S.R., Shoemaker, A.L. (’14), Wetzel’s Problem, Paul Erdos, and the Continuum Hypoth-esis: a mathematical mystery, Notices Amer. Math. Soc. 62 (2015), no. 3, 243-247.

50. Garcia, S.R., Prodan, E., Putinar, M., Mathematical and physical aspects of complex symmetricoperators, J. Phys. A: Math. Gen. 47 (2014), no. 35, 353001. MR3254868

51. Garcia, S.R., Ross, W.T., Model spaces: a survey, Contemp. Math. 638 (2015), 197-245.MR3309355

52. Brown, B. (’15), Dairyko, M. (’13), Garcia, S.R., Lutz, B. (’13), Someck, M. (’14), Fourquotient set gems, Amer. Math. Monthly 121 (2014), no. 7, 590-598. MR3229105

2Appeared in The Best Writing on Mathematics 2016, published by Princeton University Press.


53. Chalendar, I., Garcia, S.R., Ross, W.T., Timotin, D., An extremal problem for characteristicfunctions, Trans. Amer. Math. Soc. 368 (2016), no. 6, 4115-4135. MR3453366

54. Garcia, S.R., Quotients of Gaussian primes, Amer. Math. Monthly. 120 (2013), no. 9, 851-853.MR3115449

55. Chan, A. Z.-Y. (’14), Garcia, L.A. (’14), Garcia, S.R., Shoemaker, A.L. (’14), On the matrixequation XA + AXT = 0, II: Type 0-I interactions, Lin. Alg. Appl. 439 (2013), no. 12, 3934-3944. MR3133465

56. Duke, W., Garcia, S.R., Lutz, B. (’13), The graphic nature of Gaussian periods, Proc. Amer.Math. Soc. 143 (2015), no. 5, 1849-1863. MR3314096

57. Brumbaugh, J.L. (’13), Bulkow, M. (’14), Garcia, L.A. (’14), Garcia, S.R., Michal, M., Turner,A.P. (’14), The graphic nature of the symmetric group, Exp. Math. 22 (2013), no. 4, 421-442.MR3171103

58. Brumbaugh, J.L. (’13), Bulkow, M. (’14), Fleming, P.S., Garcia, L.A. (’14), Garcia, S.R.,Karaali, G., Michal, M., Turner, A.P. (’14), Supercharacters, exponential sums, and the uncer-tainty principle, J. Number Theory 144 (2014), 151-175. MR3239156

59. Garcia, S.R., Shoemaker, A.L. (’14), On the matrix equation XA + AXT = 0, Lin. Alg. Appl.438 (2013) 2740-2746. MR3008530

60. Garcia, S.R., Lutz, B. (’13), Timotin, D., Two remarks about nilpotent operators of order two,Proc. Amer. Math. Soc. 142 (2014), no. 5, 1749-1756. MR3168480

61. Garcia, S.R., Ross, W.T., Wogen, W.R., C∗-algebras generated by truncated Toeplitz operators,Oper. Theory Adv. Appl. 236 (2013), no. 181-192. MR3203060

62. Fowler, C. (’12), Garcia, S.R., Karaali, G., Ramanujan sums as supercharacters, Ramanujan J.35 (2014), no. 2, 205-241. MR3266478

63. Garcia, S.R., Three questions about complex symmetric operators, Integral Equations OperatorTheory 72 (2012), no. 1, 3-4. MR2872603

64. Garcia, S.R., Hammond, C., Which weighted composition operators are complex symmetric?,Oper. Theory Adv. Appl. 236 (2013), 171-179. MR3203059

65. Garcia, S.R., Ross, W.T., Recent progress on truncated Toeplitz operators, Fields Institute Com-munications 65 (2013), 275-319. MR3052299

66. Hardin, J., Garcia, S.R., Golan, D., A method for simulating realistic correlation matrices, Ann.Appl. Stat 7 (2013), no. 3, 1733-1762. MR3127966

67. Garcia, S.R., Poore, D.E. (’11),3 On the closure of the complex symmetric operators: compactoperators and weighted shifts, J. Funct. Analysis 264 (2013), 691-712. MR3003733

3Daniel Poore (’11) earned the John Stauffer Scholarship for Academic Merit, Pomona College’s highest undergraduateresearch prize.


68. Garcia, S.R., Poore, D.E. (’11), Tener, J.E. (’08), Unitary equivalence to a complex symmetricmatrix: low dimensions, Lin. Alg. Appl. 437 (2012), no. 1, 271-284. MR2917445

69. Garcia, S.R., Poore, D.E. (’11), On the norm closure problem for complex symmetric operators,Proc. Amer. Math. Soc. 141 (2013), no. 2, 549. MR2996959

70. Garcia, S.R., Poore, D.E. (’11), Ross, W.T., Unitary equivalence to a truncated Toeplitz operator:analytic symbols, Proc. Amer. Math. Soc. 140 (2012), no. 4, 1281–1295. MR2869112

71. Fleming, P., Garcia, S.R., Karaali, G., Classical Kloosterman sums: representation theory, magicsquares, and Ramanujan multigraphs, J. Number Theory 131 (2011), no. 4, 661–680. MR2753270(2012a:11114)

72. Garcia, S.R., Poore, D.E. (’11), Wyse, M.K. (’11), Unitary equivalence to a complex symmetricmatrix: a modulus criterion, Oper. Matrices 2 (2011), no. 5, 273-287. MR2830598 (2012e:15071)

73. Garcia, S.R., Ross, W.T., Wogen, W.R., Spatial isomorphisms of algebras of truncated Toeplitzoperators, Indiana Univ. Math. J. 59 (2010), no. 6, 1971-2000. MR2919743

74. Garcia, S.R., Poore, D.E., (’11), Selhorst-Jones (’09), Simon, N. (’08), Quotient sets andDiophantine equations, Amer. Math. Monthly 118 (2011), no. 8, 704–711. MR2843990(2012h:11008)

75. Garcia, S.R., Tener, J.E. (’08), Unitary equivalence of a matrix to its transpose, J. Operator Theory68 (2012), no. 1, 179-203. MR2966041

76. Cima, J.A., Garcia, S.R., Ross, W.T., Wogen, W.R., Truncated Toeplitz operators: spatial iso-morphism, unitary equivalence, and similarity, Indiana Univ. Math. J., 59 (2010), 595–620.MR2648079 (2011i:47035)

77. Garcia, S.R., Balayan, L. (’09), Unitary equivalence to a complex symmetric matrix: geometriccriteria, Oper. Matrices 4 (2010), No. 1, 53–76. MR2655004 (2011f:15068)

78. Garcia, S.R., Ross, W.T., The norm of a truncated Toeplitz operator, Centre de Recherches Math-ématiques, Proceedings and Lecture Notes, 51 (2010), 59-64.MR2648866 (2011h:47055)

79. Garcia, S.R., Wogen, W.R., Complex symmetric partial isometries, J. Funct. Analysis 257 (2009),1251–1260. MR2535469 (2011g:47005)

80. Garcia, S.R., Ross, W.T., A non-linear extremal problem on the Hardy space, Comput. MethodsFunct. Theory 9 (2009), No. 2, 485–524. MR2572653 (2010k:47062)

81. Garcia, S.R., Wogen, W.R., Some new classes of complex symmetric operators, Trans. Amer.Math. Soc. 362 (2010), 6065-6077. MR2661508 (2011g:47086)

82. Garcia, S.R., The norm and modulus of a Foguel operator, Indiana Univ. Math. J., 58 (2009),No. 5, 2305–2316. MR2583501 (2010k:47025)


83. Garcia, S.R., Hermitian-symmetric inequalities in Hilbert space, Complex Anal. Oper. Theory3 (2009), no. 4, 835–846. MR2570114 (2012a:47039)

84. Garcia, S.R., Putinar, M., Interpolation and complex symmetry, Tohoku Math. J. (2) 60 (2008),no. 3, 423–440. MR2453732 (2009k:47048)

85. Danciger, J. (UCSB ’06),4 Garcia, S.R., Putinar, M., Variational principles for symmetric bilinearforms, Math. Nachr. 281 (2008), no. 6, 786–802. MR2418847 (2009g:47052)

86. Garcia, S.R., Aluthge transforms of complex symmetric operators, Integral Equations OperatorTheory 60, no. 3, (2008), 357-367. MR2392831 (2008m:47052)

87. Garcia, S.R., Approximate antilinear eigenvalue problems and related inequalities, Proc. Amer.Math. Soc. 136 (2008), 171-179. MR2350402 (2008k:47022)

88. Garcia, S.R., The eigenstructure of complex symmetric operators, Operator Theory: Advancesand Applications 179 (2008), 169-184. MR2397854 (2009e:47004)

89. Garcia, S.R., Means of unitaries, conjugations, and the Friedrichs operator, J. Math. Anal. Appl.335 (2007), 941–947. MR2345511 (2008i:47070)

90. Garcia, S.R., Conjugation and Clark operators, Contemp. Math. 393 (2006), 67–112. MR2198373(2007b:47073)

91. Prodan, E., Garcia, S.R., Putinar, M., Norm estimates of complex symmetric operators applied toquantum systems, J. Phys. A: Math. Gen. 39, no. 2, (2006), 389–400. MR2198968 (2006j:81064)

92. Garcia, S.R., Putinar, M., Complex symmetric operators and applications II, Trans. Amer. Math.Soc. 359 (2007), no. 8, 3913–3931. MR2302518 (2008b:47005)

93. Garcia, S.R., Inner matrices and Darlington synthesis, Methods. Funct. Anal. Topology. 11,no. 1, (2005), 37–47. MR2130935 (2005m:30039)

94. Garcia, S.R., The backward shift on Dirichlet-type spaces, Proc. Amer. Math. Soc. 133, no. 10,(2005), 3047–3056. MR2159784 (2006e:30038)

95. Garcia, S.R., Putinar, M., Complex symmetric operators and applications, Trans. Amer. Math.Soc. 358 (2006), 1285–1315. MR2187654 (2006j:47036)

96. Garcia, S.R., A *-closed subalgebra of the Smirnov class, Proc. Amer. Math. Soc. 133, no. 7,(2005), 2051–2059. MR2137871 (2005m:30040)

97. Garcia, S.R., Conjugation, the backward shift, and Toeplitz kernels, J. Operator Theory 54, no. 2,(2005), 239–250. MR2186351 (2006g:30055)

98. Garcia, S.R., Sarason, D., Real outer functions, Indiana Univ. Math. J. 52, no. 6, (2003),1397–1412. MR2021044 (2004k:30129)

4Jeffrey Danciger earned the Chancellor’s Award for Excellence in Undergraduate Research.


PROFESSIONAL PRESENTATIONS

1. Garcia, S.R., Title TBA, Special Session on Numerical Semigroups and Applications, AMSWestern Sectional Meeting, CSU Fresno (upcoming: 5/2 - 5/3/20)

2. Garcia, S.R., Title TBA (series of three lectures), Focus Program on Analytic Function Spacesand their Applications, Fields Institute, Toronto (upcoming: 6/22 - 6/26/20)

3. Garcia, S.R., “Guiding principles for supervising undergraduate research,” AMS-MAA Spe-cial Session on Getting Started in Undergraduate Research: Topics, Tools and Open Prob-lems, Joint Mathematics Meeting, Denver 1/17/20

4. Garcia, S.R., “Nonvanishing minors and uncertainty principles,” AMS Special Session onRecent Advances in Function and Operator Theory, JMM, Denver 1/16/20

5. Garcia, S.R., MAA Workshop on Generating Ideas of Undergraduate Research Projects(Panel Presentation), Joint Mathematics Meeting, Denver 1/16/20

6. Garcia, S.R., “Nonvanishing minors and uncertainty principles,” Special Session on Topicsin Operator Theory, AMS Fall Western Sectional Meeting, UC Riverside 11/9/19

7. Garcia, S.R., “Supercharacters and their superpowers: the graphic nature of exponentialsums” (plenary), Illustrating Number Theory and Algebra, Institute for Computationaland Experimental Research in Mathematics (ICERM), Providence 10/23/19

8. Garcia, S.R., “Prime time math: little green men, locust hordes, and cybersecurity,” Distin-guished Lecture Series for Students, University of Oregon 5/15/19

9. Garcia, S.R., “Prime time math: little green men, locust hordes, and cybersecurity,” PomonaResearch in Mathematics Experience (PRiME), 6/13/19

10. Garcia, S.R., “Prime numbers and their biases” (plenary), Southern California DiscreteMathematics Symposium 2019, Claremont McKenna College 5/4/19

11. Garcia, S.R., “The Bateman–Horn conjecture,” AMS-MAA-ICHM Special Session on His-tory of Mathematics, Joint Mathematics Meeting, Baltimore 1/19/19

12. Garcia, S.R., “Nonvanishing minors and uncertainty principles,” AMS Special Session onAdvances in Operator Theory, Operator Algebras, and Operator Semigroups, Joint Mathe-matics Meeting, Baltimore 1/18/19

13. Garcia, S.R., “Mean, median, and mode factorization lengths in numerical semigroups,”AMS Contributed Paper Session on Number Theory, JMM, Baltimore 1/17/19

14. Garcia, S.R., “The Bateman–Horn conjecture, II: applications,” Claremont Colleges ANTCSeminar 12/11/18

15. Garcia, S.R., “Prime numbers and their biases,” Math. Colloquium, Reed College 11/15/18

16. Garcia, S.R., “The Bateman–Horn conjecture, I: heuristic derivation,” Claremont CollegesANTC Seminar 10/17/18

17. Garcia, S.R., “Prime numbers and their biases,” Mathematics Colloquium, California StateUniversity, Fullerton 9/28/18


18. Garcia, S.R., “Prime time math: little green men, locust hordes, and cybersecurity,” FallFaculty Lecture Series, Pomona College 9/26/18

19. Garcia, S.R., “The graphic nature of Gaussian periods,” AWM-MAA Invited Paper Session:Geometric Ideas and Where to Find Them, MAA MathFest 2018, Denver 8/3/18

20. Garcia, S.R., “Prime time math: little green men, locust hordes, and cybersecurity,” PomonaCollege Family Weekend 2/16/18

21. Garcia, S.R., “Some remarks about the teaching of complex variables,” MAA Session onRevitalizing Complex Analysis, 2018 Joint Mathematics Meeting (JMM), San Diego 1/13/18

22. Garcia, S.R., “G.H. Hardy: mathematical biologist,” AMS Special Session on History ofMathematics, 2018 Joint Mathematics Meeting (JMM), San Diego 1/12/18

23. Garcia, S.R., “Quotient sets,” AMS Special Session on Open and Accessible Problems forUndergraduate Research, 2018 Joint Mathematics Meeting (JMM), San Diego 1/11/18

24. Garcia, S.R., “Toeplitz operators and lattices,” AMS Special Session on Advances in Opera-tor Theory, Operator Algebras, and Operator Semigroups, 2018 Joint Mathematics Meeting(JMM), San Diego 1/11/18

25. Garcia, S.R., “Primitive root biases for prime pairs,” AMS Special Session: a Showcaseof Number Theory at Liberal Arts Colleges, 2018 Joint Mathematics Meeting (JMM), SanDiego 1/10/18

26. Garcia, S.R., “Toeplitz operators and lattices,” AMS Special Session on Advances in Opera-tor Algebras, UC Riverside 11/5/17

27. Garcia, S.R., “Prime numbers and their biases”, Claremont Colleges Mathematics Collo-quium 9/20/17

28. Garcia, S.R., “Prime numbers and their biases”, Budapest Semesters in Mathematics (BSM)summer program, Budapest, Hungary 7/4/17

29. Garcia, S.R., “What to expect in graduate school” (discussion), Budapest Semesters in Math-ematics (BSM) summer program, Budapest, Hungary 7/3/17

30. Garcia, S.R., Karaali, G., Martonosi, S., “How to get into graduate school” (panel discus-sion), Budapest Semesters in Mathematics (BSM) summer program, Budapest 6/23/17

31. Garcia, S.R., “Gauss’ hidden menagerie: the graphic nature of Gaussian periods,” BudapestSemesters in Mathematics (BSM) summer program, Budapest, Hungary 6/21/17

32. Garcia, S.R., “The graphic nature of supercharacters,” Southern California Discrete MathSymposium 2017 (SOCALDMS), UCLA 5/20/17

33. Garcia, S.R., “If you believe in real numbers and matrices, then you believe in complex arith-metic!,” MAA Session on Revitalizing Complex Analysis, 2017 Joint Mathematics Meeting(JMM), Atlanta, Georgia 1/6/17

34. Garcia, S.R., “Operators and lattices,” AMS Special Session on Operator Theory, FunctionTheory, and Models, 2017 Joint Mathematics Meeting (JMM), Atlanta, Georgia 1/6/17


35. Garcia, S.R., “A tale of two matrices,” AMS Special Session on RE(UF)search on Graphsand Matrices, 2017 Joint Mathematics Meeting (JMM), Atlanta, Georgia 1/5/17

36. Garcia, S.R., “Three remarks on similarity,” plenary lecture, International Workshop on Op-erator Theory and Applications (IWOTA 2016), Washington University (St. Louis) 7/18/16

37. Garcia, S.R., “Gauss’ Hidden Menagerie: the Graphic Nature of Gaussian Periods,” CMC3

Recreational Math Conference, Lake Tahoe 4/23/16

38. Garcia, S.R., “Matrices are Matrices of Matrices: A Blockheaded Approach to Linear Alge-bra,” CMC3 South Conference, CSU Pomona 3/05/16

39. Garcia, S.R., “Advanced linear algebra: a call for the early introduction of complex num-bers,” MAA Session on Revitalizing Complex Analysis, 2016 Joint Mathematics Meeting(JMM), Seattle, Washington 1/9/16

40. Garcia, S.R., “Wetzel’s problem, Paul Erdos, and the Continuum Hypothesis,” AMS-MAASpecial Session on the History of Mathematics 2016 Joint Mathematics Meeting (JMM),Seattle, Washington 1/6/16

41. Garcia, S.R., “Two remarks on similarity,” AMS Special Session on Operators, FunctionSpaces, and Models, 2016 Joint Mathematics Meeting (JMM), Seattle, Washington 1/6/16

42. Garcia, S.R., “Matrices are Matrices of Matrices: A Blockheaded Approach to Linear Alge-bra,” Claremont Colleges ANTC Seminar 11/10/15

43. Garcia, S.R., “Wetzel’s problem, Paul Erdos, and the Continuum Hypothesis,” Special Ses-sion on Humanistic Mathematics, AMS Fall Western Sect. Meeting, CSU Fullerton 10/25/15

44. Garcia, S.R., “On a problem of Halmos: unitary equivalence of a matrix to its transpose,”Special Session on Recent Results in Operator Theory and Operator Algebras, AMS FallWestern Sectional Meeting, CSU Fullerton 10/24/15

45. Garcia, S.R., “The graphic nature of Gaussian periods,” Special Session on Recent Advancesin Number Theory, AMS Fall Western Sectional Meeting, California State University, Fuller-ton 10/24/15

46. Garcia, S.R., “A tale of two matrices,” Claremont Colleges Algebra / Number Theory /Combinatorics Seminar 9/29/15

47. Garcia, S.R., “Supercharacters and their superpowers: the graphic nature of exponentialsums,” Colloquium, University of Illinois Urbana-Champaign 3/19/15

48. Garcia, S.R., “Complex symmetric operators: a quick overview,” Analysis Seminar, Univer-sity of Illinois Urbana-Champaign 3/19/15

49. Garcia, S.R. (panelist), “Supervising Undergraduate Research,” 2015 SoCal-Nevada SectionMeeting, California Lutheran University 3/14/15

50. Garcia, S.R., “On a problem of Halmos: unitary equivalence of a matrix to its trans-pose,” Session on Graphs, Matrices, and Related Problems, 2015 Joint Mathematics Meeting(JMM), San Antonio 1/13/15


51. Garcia, S.R., “Approaches to Cauchy’s Theorem,” Session on Revitalizing Complex Analy-sis at the Undergrad. Level, 2015 Joint Mathematics Meeting (JMM), San Antonio 1/10/15

52. Garcia, S.R., “Complex symmetric operators: a quick overview,” Seminar in Operator The-ory and Operator Algebras, University of Virginia 11/11/14

53. Garcia, S.R., “A fresh look at finite Fourier analysis,” plenary lecture, Virginia OperatorTheory and Complex Analysis Meeting (VOTCAM) 11/8/14

54. Garcia, S.R., “Supercharacters on abelian groups,” Claremont Colleges Algebra / NumberTheory / Combinatorics Seminar 10/14/14

55. Garcia, S.R., “Four steps to undergraduate research success!”, Undergraduate Research inMathematics: How, When, Why?, MAA MathFest 2014, Portland 8/9/14

56. Garcia, S.R., “Quotient sets”, themed paper session (Open and Accessible Problems in Realor Complex Analysis), MAA MathFest 2014, Portland 8/8/14

57. Garcia, S.R., “Approaches to Cauchy’s Theorem,” Revitalizing Complex Analysis Work-shop, Westmont College, Santa Barbara 6/25/14

58. Garcia, S.R., “A quick peek at supercharacters on abelian groups,” Revitalizing ComplexAnalysis Workshop, Westmont College, Santa Barbara 6/26/14

59. Garcia, S.R., “Involve: a journal of mathematics”, Research Experiences for UndergraduateFaculty (REUF) program, American Institute of Mathematics (AIM), Palo Alto 7/10/14

60. Garcia, S.R., “Undergraduate research, and so can you!”, Research Experiences for Under-graduate Faculty (REUF), American Institute of Mathematics (AIM), Palo Alto 7/7/14

61. Garcia, S.R., “Complex symmetric operators,” plenary lecture, 34th annual Great PlainsOperator Theory Symposium (GPOTS), Kansas State University 5/28/14

62. Garcia, S.R., “Supercharacters and their super powers,” Colloquium, CSUSB 4/16/14

63. Garcia, S.R., “Supercharacters and their super powers,” UC San Diego Number TheorySeminar 4/3/14

64. Garcia, S.R., “Supercharacters and their super powers,” Colloquium, Cal State Domin-guezHills 3/26/14

65. Garcia, S.R., “Supercharacters and their super powers,” Representation Theory Seminar,University of Utah 2/28/14

66. Garcia, S.R., “Supercharacters and their super powers,” Math Club Colloquium, CSU LosAngeles 2/19/14

67. Garcia, S.R., “Quotient sets,” Claremont Colleges Algebra / Number Theory / Combina-torics Seminar 2/11/14

68. Garcia, S.R., “Supercharacters and their super powers,” Claremont Colleges MathematicsColloquium 1/29/14

69. Garcia, S.R., “The graphic nature of supercharacters,” Science Lunch, Pomona 11/22/13


70. Garcia, S.R., “Truncated Toeplitz operators as model operators?” one-hour invited lecture atthe conference Invariant subspaces of the shift operator, Centre de Recher-ches Mathématiques(CRM), Montréal, Canada 8/30/13

71. Garcia, S.R., “Model subspaces,” three-hour mini-course at the conference Invariant sub-spaces of the shift operator, Centre de Recherches Mathématiques (CRM), Montréal 8/26/13

72. Garcia, S.R., “Hidden symmetries in everyday operators,” one-hour invited address at theFourth International Conference on Matrix Analysis and its Applications, Konya, Turkey 7/2/13

73. Garcia, S.R., “Model subspaces” & “Truncated Toeplitz operators,” two invited lectures atthe Function Theory and Complex Variables Summer School and Workshop, Nesin MathematicsVillage, Sirince, Turkey 6/10/13

74. Garcia, S.R., “Supercharacters on abelian groups,” AMS Special Session on CombinatorialAvenues in Representation Theory, University of Colorado, Boulder 4/13/13

75. Garcia, S.R., “Supercharacters on abelian groups,” UCLA Combinatorics Seminar, 2/21/13

76. Garcia, S.R., “Recent progress on complex symmetric operators,” research presentation atthe AMS Special Session on Several Complex Variables Techniques in Operator Theory,Joint Mathematics Meeting, San Diego 1/11/13

77. Garcia, S.R., “Supercharacter theory and Ramanujan’s sum,” research presentation at theAMS Special Session on the Influence of Ramanujan on his 125th Birthday, Joint Mathemat-ics Meeting, San Diego 1/11/13

78. Garcia, S.R., “C∗-algebras generated by truncated Toeplitz operators,” research presenta-tion at the AMS Special Session on Several Complex Variables and Multivariable OperatorTheory, Joint Mathematics Meeting, San Diego 1/10/13

79. Garcia, S.R., “Quotient sets and Diophantine equations,” Colloquium, Cal State Los Angeles5/16/12

80. Garcia, S.R., “Hidden symmetries in everyday operators,” Plenary address given at theMAA Southern California-Nevada Section Spring 2012 Meeting, Cal State Fullerton 4/14/12

81. Garcia, S.R., “Hidden symmetries in everyday operators,” Special colloquium in honor ofWarren R. Wogen, UNC Chapel Hill 3/15/12

82. Garcia, S.R., “On a problem of Halmos: unitary equivalence of a matrix to its transpose,”Claremont Colleges Analysis Seminar 12/2/11

83. Garcia, S.R., “On a problem of Halmos: unitary equivalence of a matrix to its transpose,”International Workshop on Operator Theory and Applications (IWOTA), Seville 7/4/11

84. Garcia, S.R., “Complex symmetric operators (I - IV),” Series of four lectures as part of aSummer School on Spectral Analysis of Non-Selfadjoint Operators and Applications, Universityof Rennes 1 (France) 6/13 - 6/17/11

85. Garcia, S.R., “Real complex functions,” Istanbul Analysis Seminars, Sabancı University,Istanbul (Turkey) 6/3/11


86. Garcia, S.R., “Hidden symmetries in everyday operators,” Mathematics Colloquium, CSUDominguez Hills 4/21/11

87. Garcia, S.R., “On a problem of Halmos: unitary equivalence of a matrix to its transpose,”Southeastern Analysis Meeting (SEAM 27), U. Florida 3/18/11

88. Garcia, S.R., “Complex symmetric operators: an overview,” invited presentation (atten-dance by invitation only) at the European Science Foundation (ESF) exploratory workshopon “Mathematical aspects of physics with non-self-adjoint operators,” Prague, Czech Re-public 8/31/10

89. Garcia, S.R., “Rationals, irrationals, and quotients of primes,” Fullerton College Math Club,Fullerton College 5/4/10

90. Garcia, S.R., “Hidden symmetries in everyday operators,” Istanbul Analysis Seminars, Sa-bancı University, Istanbul (Turkey) 3/26/10

91. Garcia, S.R., “Hidden symmetries in everyday operators,” Colloquium, Bogaziçi University,Istanbul (Turkey) 3/10/10

92. Devadoss, S., Garcia, S.R., Karaali, G.,“A mathematical career at a liberal arts college,”Career Talks, U.C. Berkeley 10/19/09

93. Garcia, S.R., “Hidden symmetries in everyday operators,” Colloquium, University of Rich-mond 9/28/09

94. Garcia, S.R., “Simultaneous Diophantine equations with side constraints,” Claremont Col-leges Algebra/Number Theory/Combinatorics Seminar 4/7/09

95. Garcia, S.R., “Open questions about complex symmetric operators,” Southeastern AnalysisMeeting (SEAM 25), University of South Florida 3/21/09

96. Garcia, S.R., “Unitary equivalence to a complex symmetric matrix,” Claremont CollegesAnalysis Seminar 9/15/08

97. Garcia, S.R., “Unitary equivalence to a complex symmetric matrix,” invited address at theInternational Workshop on Operator Theory and Applications (IWOTA 2008), College ofWilliam and Mary 7/22/08

98. Garcia, S.R., “Rationals, irrationals, and quotients of primes,” Pomona College MathematicsTalent Search Honors Day 4/26/08

99. Garcia, S.R., “Inner matrix functions and Darlington synthesis,” Claremont Colleges Anal-ysis Seminar 4/21/08

100. Garcia, S.R., “New classes of complex symmetric operators,” research presentation at theSoutheastern Analysis Meeting (SEAM 24), Vanderbilt University, 3/8/08

101. Garcia, S.R., “The backward shift on Dirichlet-type spaces,” Claremont Colleges AnalysisSeminar 9/13/07

102. Garcia, S.R., “Real Smirnov functions and applications,” colloquium presented as part ofthe Distinguished Visiting Professor Program, Bucknell University 8/30/07


103. Garcia, S.R., “Complex symmetric operators: an overview,” colloquium presented as partof the Distinguished Visiting Professor Program, Bucknell University 8/28/07

104. Garcia, S.R., “Real complex functions,” expository presentation at Claremont CollegesMathematics Colloquium 2/14/07

105. Garcia, S.R., “An adjoint of Beurling’s theorem,” research presentation at Claremont Col-leges Analysis Seminar 3/05/07

106. Garcia, S.R., “Remarks on complex symmetric operators,” research presentation at South-eastern Analysis Meeting (SEAM 23), University of Richmond 3/10/07

107. Garcia, S.R., “Complex symmetric matrices II,” expository presentation at the ClaremontColleges Algebra Seminar 4/11/07

108. Garcia, S.R., “Complex symmetric matrices I,” expository presentation at the ClaremontColleges Algebra Seminar 3/28/07

109. Garcia, S.R., “Complex symmetric operators: matrices, operators, functions,” featured pre-sentation at the Southern California Functional Analysis Seminar (SCFAS), Claremont McKennaCollege 10/28/06

110. Garcia, S.R., “Complex symmetric operators: an overview,” featured presentation at theSoutheastern Analysis Meeting (SEAM 22), University of Florida 3/4/06

111. Garcia, S.R., “Complex symmetric operators: matrices, operators, functions,” colloquiumpresented at Ohio University 2/17/06

112. Garcia, S.R., “Complex symmetric operators: matrices, operators, functions,” colloquiumpresented at Vassar College 2/14/06

113. Garcia, S.R., “Complex symmetric operators: matrices, operators, functions,” colloquiumpresented the University of Arkansas 2/10/06

114. Garcia, S.R., “Real Smirnov functions and applications,” research presentation at the Uni-versity of Arkansas 2/9/06

115. Garcia, S.R., “Complex symmetric operators: matrices, operators, functions,” colloquium atthe University of Hawaii 2/3/06

116. Garcia, S.R., “Complex symmetric operators: matrices, operators, functions,” colloquium atPomona College 1/27/06

117. Garcia, S.R., “Complex symmetric operators: matrices, operators, functions,” colloquium atNorth Dakota State University 1/20/06

118. Garcia, S.R., “Complex symmetric operators: matrices, operators, functions,” colloquium atTexas A & M University 12/6/05

119. Garcia, S.R., “Real Smirnov functions and applications,” research seminar at the Universityof Washington 10/18/05

120. Garcia, S.R., “Variational principles, harmonic conjugation, and the Friedrichs operator,”research presentation at Recent Advances in Operator-Related Function Theory, El Escorial(Spain) 10/7/05


121. Garcia, S.R., “Complex symmetric matrices,” colloquium at the CSUCI / CLU / PepperdineMathematics Colloquium, CSU Channel Islands 9/15/05

122. Garcia, S.R., “Complex symmetric operators,” research presentation at the InternationalWorkshop on Operator Theory and Applications, U. Connecticut, 7/24/05

123. Garcia, S.R., “Complex symmetric operators,” colloquium at California Polytechnic StateUniversity, San Luis Obispo 4/29/05

124. Garcia, S.R., “Complex symmetric operators,” research seminar, U. Virginia 4/12/05

125. Garcia, S.R., “Real Smirnov functions,” research seminar, U. Virginia 4/11/05

126. Garcia, S.R., “Complex symmetric operators,” research presentation at the SoutheasternAnalysis Meeting (SEAM 21), Washington and Lee University 4/9/05

127. Garcia, S.R., “Complex symmetric operators,” colloquium at the Virginia Polytechnic Insti-tute and State University 4/6/05

128. Garcia, S.R., “The structure of complex symmetric operators,” Analysis Seminar, U.C.Berkeley, 9/7/04

129. Garcia, S.R., “Complex symmetric operators,” Recent Advances in Operator-Related Func-tion Theory, Trinity College (Ireland), 8/4/04

130. Garcia, S.R., various research seminars at U.C. Santa Barbara 5/15/04, 9/29/04, 10/6/04,11/3/04

131. Garcia, S.R., “Complex symmetric operators,” colloquium, Lund University 4/28/04

132. Garcia, S.R., “Real Smirnov functions and applications,” seminar at Lund University (Swe-den) 4/27/04

133. Garcia, S.R., “Real Smirnov functions and applications,” research seminar at the Universityof Tennessee, Knoxville 3/29/04

134. Garcia, S.R., “C-symmetric operators,” research presentation at the Southeastern AnalysisMeeting (SEAM 20), University of Alabama, Tuscaloosa 3/26/04

135. Garcia, S.R., “C-symmetric operators,” research seminar at the University of Tennessee,Knoxville 3/22/04

136. Garcia, S.R., “Complex symmetry with applications to function theory,” research seminarat U.C. San Diego 3/10/04

137. Garcia, S.R., “Conjugation, the backward shift, and Toeplitz kernels,” colloquium at HarveyMudd College 2/25/04

138. Garcia, S.R., “Conjugation, the backward shift, and Toeplitz kernels,” research presentationat Special Session of the American Mathematical Society: Linear Operators on FunctionSpaces, University of North Carolina, Chapel Hill 10/24/03

139. Garcia, S.R., “Conjugation, the backward shift, and Toeplitz kernels,” research seminar,U.C. Santa Barbara 2003

140. Garcia, S.R., “Conjugation, the backward shift, and Toeplitz kernels,” research seminar,U.C. Berkeley 4/15/03


COURSES TAUGHT

Math 135: Complex Variables Spring 2020Math 173: Advanced Linear Algebra Spring 2020Math 131: Principles of Real Analysis I Fall 2019Math 60: Linear Algebra Fall 2019Math 173: Advanced Linear Algebra Spring 2019Math 132: Principles of Real Analysis II Spring 2019Math 131: Principles of Real Analysis I Fall 2018Math 60: Linear Algebra Fall 2018Math 137: Real and Functional Analysis Fall 2017Math 60: Linear Algebra Fall 2017Math 113: Number Theory and Cryptography Spring 2017Math 60: Linear Algebra Spring 2017Math 131: Principles of Real Analysis I Fall 2016Math 60: Linear Algebra Fall 2016Math 132: Principles of Real Analysis II Spring 2016Math 60: Linear Algebra Spring 2016Math 173: Advanced Linear Algebra Fall 2015Math 131: Principles of Real Analysis I Fall 2015Math 138: Real and Functional Analysis II Spring 2015Math 60: Linear Algebra Spring 2015Math 173: Advanced Linear Algebra Fall 2014Math 137: Real and Functional Analysis Fall 2014Math 135: Complex Variables Fall 2013Math 60: Linear Algebra Fall 2013Math 173: Advanced Linear Algebra Fall 2012Math 60: Linear Algebra Fall 2012Math 132 Principles of Real Analysis II Spring 2012Math 60: Linear Algebra Spring 2012Math 131 Principles of Real Analysis I Fall 2011Math 60: Linear Algebra Fall 2011Independent Study (2x): Principles of Real Analysis II Spring 2011Math 173: Advanced Linear Algebra Spring 2011Math 60: Linear Algebra Spring 2011Math 135: Complex Variables Fall 2010Math 60: Linear Algebra Fall 2010Math 132: Principles of Real Analysis II Spring 2009Math 60: Linear Algebra Spring 2009Math 173: Advanced Linear Algebra Fall 2008Math 31: Calculus II Fall 2008Math 132: Principles of Real Analysis II Spring 2008Math 31: Calculus II Spring 2008


Math 131 Principles of Real Analysis I Fall 2007Math 60: Linear Algebra Fall 2007Math 31: Calculus II Spring 2007Math 60: Linear Algebra Spring 2007Math 131: Principles of Real Analysis I Fall 2006Math 31: Calculus II Fall 2006Math 8: Transition to Higher Mathematics, U.C. Santa Barbara Spring 2006Math 3B: Calculus with Applications, U.C. Santa Barbara Winter 2006Math 3B: Calculus with Applications (2×), U.C. Santa Barbara Fall 2005Undergraduate Seminar: Topics in Linear Algebra, U.C. Santa Barbara Spring 2005Math 34A: Calculus for Social and Life Sciences, U.C. Santa Barbara Spring 2005Math 108B: Advanced Linear Algebra, U.C. Santa Barbara Winter 2005Math 3C: Calculus with Applications, U.C. Santa Barbara Fall 2004Math 108A: Introduction to Linear Algebra, U.C. Santa Barbara Fall 2004Math 108B: Advanced Linear Algebra, U.C. Santa Barbara Spring 2004Math 8: Transition to Higher Mathematics, U.C. Santa Barbara Winter 2004Math 34A: Calculus for Social and Life Sciences, U.C. Santa Barbara Fall 2003Math 122A: Introduction to the Theory of Complex Variables, UCSB Fall 2003Math S115: Introduction to Number Theory, U.C. Berkeley Summer 2002Math S185: Introduction to Complex Analysis, U.C. Berkeley Summer 2001

COLLEGE SERVICE

Mathematics Department Tenure-Track Search Committee Fall 2019-Spring 2020

Budapest/BSM Study Abroad Liaison Fall 2018-

Faculty Personnel Committee Fall 2018-

Academic Discipline Board (chair) Fall 2017

Academic Standards Committee (chair) Fall 2017

Academic Procedures Committee (chair) Fall 2017

Health Sciences Committee 2016-17

Dean of the College Search Committee Fall 2015

Millikan Renovation Committee Fall 2010 - Fall 2014

Faculty Personnel Committee Fall 2012, Fall 2013

Mathematics Colloquium co-Chair 2011-12

Fulbright Fellowship Committee Summer 2010-Spring 2011

Fulbright Fellowship Committee Summer 2008-Spring 2009

Stauffer Prize Selection Committee Spring 2008, 2011, 2013, 2015, 2018


OTHER

Miscellaneous Conferences Attended

Latinx Mathematicians Network II, American Institute of Mathematics (AIM) 12/5 – 12/6/19Latinx Mathematicians Network, American Institute of Mathematics (AIM) 12/6 – 12/7/18Latinos in the Mathematical Sciences (LAT@Math), Institute for Pure and Applied Mathematics(IPAM), UCLA 3/8 – 3/10/18Southern California Discrete Math Symposium 2016, UCLA 4/16/16Latinos in the Mathematical Sciences (LAT@Math), Institute for Pure and Applied Mathematics(IPAM), UCLA 4/9 – 4/11/15Mathematical Association of America (MAA) Southern California-Nevada Spring Section Meet-ing, California Lutheran University 3/14/15Revitalizing Complex Analysis Workshop, Westmont College, Santa Barbara 6/23 – 6/27/14Southern California (SoCal) Project Kaleidoscope (PKAL) Regional Network Meeting, STEM Ed-ucation Effectiveness: From Curricular Frameworks to Student Research 2/1/14National Council of Teachers of Mathematics (NCTM) Annual Meeting & Exposition, ColoradoConvention Center, Denver, CO 4/17/13 – 4/20/13Mathematical Association of America (MAA) Southern California-Nevada Fall Section Meeting,California State University, Long Beach 10/13/12Southern California (SoCal) Project Kaleidoscope (PKAL) Regional Network Workshop, “En-gaged STEM Teaching - What Works?,” Pomona College 1/21/12History and Pedagogy of Mathematics (West Coast Conference), Point Loma Nazarene Univer-sity, San Diego 10/1/11 – 10/2/11Mathematical Association of America (MAA) Southern California-Nevada Fall Section Meeting,California State University, Los Angeles 10/15/11California Mathematics Council, 49th Annual Fall Conference, Palm Springs 11/08/08Mathematical Association of America (MAA) Southern California-Nevada Spring Section Meet-ing, University of San Diego 3/15/08Third International Conference on the Teaching of Mathematics at the Undergraduate Level,Istanbul, Turkey 6/30/06 – 07/05/06

Professional Workshops Attended

Research Experiences for Undergraduate Faculty (REUF 6) (Team Leader), American Institute ofMathematics (AIM), Palo Alto 7/7/14 – 7/11/14Research Experiences for Undergraduate Faculty (REUF 4) (Team Leader), Institute for Compu-tational and Experimental Research in Mathematics (ICERM), Providence 6/4/12 – 6/8/12Undergraduate Faculty Program: Analysis and Algorithms in Image Processing, Park City Math-ematics Institute 6/27 – 7/17/10Research Experiences for Undergraduate Faculty (REUF 2) (participant), American Institute ofMathematics (AIM), Palo Alto 7/20 – 7/24/09


Professional Memberships

American Mathematical Society (AMS)

Mathematical Association of America (MAA)

International Linear Algebra Society (ILAS)

Society for Advancement of Chicanos and Native Americans in Science (SACNAS)

Senior Theses Supervised

1. Ahlbie Squire (’20) – “The Collatz Conjecture” (title tentative)

2. Ira Norton–Westbrook (’20) – “Set-theoretic construction of Number Systems” (title tenta-tive)

3. Liam Cunningham (’20) – “Equivalence by Unipotent Matrices” (title tentative)

4. Kenny Dennie (’19) – “Rubik’s Cubes”

5. Jóse Muñoz-López (’19) – “Constructions for Avoiding Prime Length Arithmetic Progres-sions”

6. Brian Lorenz (’19) – “Bounding the Power Moments of Gaussian Periods”

7. Matt Patterson (’19) – “Constructing Conjugations by Unitary Extension”

8. Sam Yih (’18) – “Factorization Length Distribution in Numerical Semigroups” (honors)

9. Chris Donnay (’18) – “The Density of Quotient Sets Generated by Binary Quadratic Formsin the p-adics” (honors)

10. Soren Aletheia-Zomlefer (’18) – “The Bateman-Horn Conjecture”

11. Tim Schaaf (’17) – “Triangle Factors in Random Graphs”

12. Hong Suh (’16) – “Distinct Distances and Polynomial Partitioning” (honors)

13. Paula Burkhardt (’16) – “Interlacing Polynomials and Infinite Families of Ramanujan Graphs”(honors)

14. Kristen Silva (’16) – “Benford’s Law of Leading Digits in Astronomy”

15. Ryan Smith (’16) – “Representation Theory of C∗-Algebras”

16. Matthieu de Langis (’15) – “Some Supercharacter Theories on (Z/nZ)d

17. Gu, Tianyou (’15) – “ Super Characters and Fourier Transform”

18. Zhang, Sally (’15) – “The Riemann Zeta function” (honors)

19. Brown, Brian (’15) – “The commutant lifting theorem” (honors)

20. Garcia, Luis (’14) – “The Discrete Fourier Transform and the Uncertainty Principle”

21. Chan, Alice (’14) – “Generalized Kloosterman sums”

22. Shoemaker, Amy (’14) – “On a problem of Wetzel and its solution by Erdos” (honors)

23. Bulkow, Madeleine (Scripps ’14) – “Hyper-Kloosterman sums in supercharacter theories”

24. Brumbaugh-Smith, Jacob (’13) – “An introduction to topos theory”

25. Dairyko, Michael (’13) – “Fractional density and quotient sets”

26. Lutz, Robert (’13) – “The graphic nature of Gaussian periods” (honors)

27. Fowler, Chris (’12) – “Supercharacter Theory” (co-advisor with Gizem Karaali)


28. Hunckler, William (’12) – “The Riemann Mapping Theorem”

29. McGuinness, Daniel (’12) – “Elliptic Functions”

30. Spielberg, Nathaniel (’12) – “Eigenvalues of correlation matrices”

31. Rodriguez, Dustin (’12) – “Partial Fourier Coefficients”

32. Poore, Daniel (’11) – “On the closure of the complex symmetric operators”

33. Simon, Mark (’10) – “Randomly generating computationally stable correlation matrices”(co-advisor with Johanna Hardin)

34. Selhorst-Jones, Vincent (’09) – “Fractional density in the reals”

35. Balayan, Levon (’09) – “Unitary equivalence to a complex symmetric matrix: geometriccriteria” (honors)

36. Daigle, Gerald (’08) – “Determining unitary equivalence to a 3 × 3 complex symmetricmatrix from the upper triangular form” (honors)

37. Simon, Noah (’08) – “Diophantine approximation by quotients of primes” (honors)

38. Tener, James (’08) – “Unitary equivalence to a complex symmetric matrix” (honors)

References

Sheldon AxlerProfessor of MathematicsSan Francisco State [email protected]

Art BenjaminSmallwood Family Professor of MathematicsHarvey Mudd [email protected]

Susan Jane ColleyAndrew and Pauline Delaney Professor

of MathematicsOberlin [email protected]

Carl CowenProfessor of MathematicsIndiana University / Purdue [email protected]

Erica FlapanLingurn H. Burkhead Professor of MathematicsPomona [email protected]

Lenny FukshanskyProfessor of MathematicsClaremont McKenna [email protected]

Bill HeltonProfessor of MathematicsUC San [email protected]

Roger A. HornResearch Professor (retired)University of [email protected]

Ken OnoAsa Griggs Candler ProfessorUniversity of [email protected]

Mihai PutinarProfessor of MathematicsUC Santa [email protected]

William T. RossRoger Francis and Mary Saunders Richardson

Chair in MathematicsUniversity of [email protected]

Francis SuBenediktsson-Karwa Professor of MathematicsHarvey Mudd [email protected]

stephan ramon garcia - pomona collegesg064747/misc/srg-curriculumvitae.pdf · stephan ramon garcia...

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