Curriculum Vita ofSTEVEN DALE CUTKOSKY

Address

Department of Mathematics, University of MissouriColumbia, Missouri-65211, U.S.A

Education

Ph.D. 1985 Brandeis University, Waltham, MA 02254B.S. 1981 Indiana University, Bloomington, IN 47003

Thesis Advisor: Professor Teruhisa Matsusaka

Research Areas

Algebraic Geometry and Commutative Algebra

Positions Held since Ph.D

(1) Visiting Professor, University of Paris Diderot - Paris 7, May 14 -June 13, 2015.

(2) General Member, Mathematical Sciences Research Institute, Jan.2013 - May 2013.

(3) Visiting Professor, University of Paris Diderot - Paris 7, Oct. 1 -Nov. 1, 2012.

(4) General Member, Mathematical Sciences Research Institute, Aug2002 - Dec 2002.

(5) Curator’s Professor, University of Missouri, since December 2001.(6) Visiting Professor, Chennai Mathematical Institute, Chennai (Madras),

India, Oct 1999 - Jan 2000.(7) Visiting Professor, Northeastern University, Jan 2000 - June 2000.(8) Professor, University of Missouri, since September 1995.(9) Associate Professor, University of Missouri, Aug 1991-July 1995(10) Visiting Professor, Universitat Essen, Germany, May-June 1995(11) Visiting Professor, Chennai Mathematical Institute, Chennai (Madras),

India, June 1994 - July 1994.(12) Assistant Professor, University of Missouri, Aug 1989-July 1991(13) Visiting Professor, Tata Inst. of Fundamental Research, India,

Spring 1991(14) Visiting Assistant Professor, Purdue University, Aug 1988-July

1989(15) Ritt Assistant Professor, Columbia University, Aug 1985-July 1988

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Awards and Grants

(1) NSF Research grant: July 2017 - June 2020.(2) Fellow of the American Mathematical Society, January 2016.(3) NSF Research grant: July 2014 - June 2017.(4) NSF Research grant: July 2011 - June 2014.(5) NSF Research grant: July 2008-June 2011.(6) University of Missouri President’s Award for Research and Cre-

ative Activity, March 2004.(7) NSF Research grant: July 2003-June 2008.(8) Curators Professor at University of Missouri, since December,

2001.(9) NSF Research grant: July 2000-June 2003.(10) National Board of Higher Mathematics, Short Term Visitors Grant,

Government of India, 10/99 - 1/00.(11) NSF Research grant: July 1997-June 2000.(12) NSF Research grant: July 1994-June 1997.(13) 1994 Chancellor’s Award for Outstanding Faculty Research and

Creative Activity in the Physical and Mathematical Sciences. (Uni-versity of Missouri, Columbia).

(14) NSF Research grant: July 1992-June 1994.(15) NSF Research grant: July 1990-June 1992.(16) Fulbright Research Grant: Jan 1991-April 1991.(17) NSF Research grant: July 1988-June 1990.(18) NSF Research grant: July 1987-June 1988.(19) Sloan Pre Doctoral Fellow July 1984-June 1985.

Editorships

(1) Journal of Algebra, from January, 2005.(2) Annales De La Faculte Des Sciences De Toulouse Mathematiques,

from December, 2008.(3) Illinois Journal of Mathematics, 1995–1998.

Book Edited

Proceedings of the Conference on Hilbert Schemes, Vector Bundles andtheir Interplay with Representation Theory, Columbia, Missouri (2002).Contemporary Math. (2003), American Mathematical Society.Co-edited with Dan Edidin, Zhenbo Qin and Qi Zhang.

Conferences Organized

(1) “Singularities and Homological Aspects of Commutative Algebra”,Oberwolfach workshop, to be held Feb. 10 - Feb. 16, 2019, Ober-wolfach, Germany (Coorganized with Aldo Conca and SrikanthIyengar).

(2) “Second International Meeting in Commutative Algebra and itsRelated Areas” (in honor the 75th birthday of Aron Simis), July

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7 - July 21, 2017 in the University of Sao Paulo, Brazil), memberof Scientific Committee.

(3) “Holomorphic Foliations and Singularities of Mappings and Spaces”,Mathematical Congress of the Americas, Special Session, Mon-treal, July 23 - 28, 2017, (Corganized with Marcio Soares, Fer-nando Cukierman, Jawad Snoussi, Lev Birbrair and Marcelo JoseSaia).

(4) “The Prospects for Commutative Algebra”, July 10 - 14, 2017,July 10 - 14, 2017 in Osaka, Japan (coorganized with TakayukiHibi, David Eisenbud and Juergen Herzog).

(5) “Asymptotic Phenomena in Local Algebra and Singularity The-ory”, Oberwolfach workshop, Dec 11 - 17, 2016, Oberwolfach, Ger-many (Coorganized with Aldo Conca and Srikanth Iyengar).

(6) Conference on Applications of Artin Approximation to SingularityTheory, Luminy, Marseille, Feb 2 - 6, 2015 (Scientific Committee).

(7) KUMUNU Conferences on Commutative Algebra, held at the Uni-versity of Missouri, Sept. 22 - 23, 2012, Sept. 21 -22, 2013 (Coor-ganized with Hema Srinivasan, Dana Weston and Olgur Celikbas),Sept. 27 - 28, 2014 (Coorganized with Ian Aberbach, Hema Srini-vasan and Dana Weston), Oct. 24 - 25, 2015 (Coorganized withIan Aberbach, Hema Srinivasan and Dana Weston).

(8) Resolution of Singularities and Related Topics, 80th Birthday ofHeisuke Hironaka, Sept. 18 - 23, 2011 in Tordesillas, Spain (Sci-entific Committee, with Cano, Mori, Luengo and Teissier).

(9) Second International Valuation Theory Conference, July 18 - 30,2011 in Segovia, Spain (Scientific Committee, with Teissier, Campillo,Chatzidakis, Favre, Hrushovski, Kedlaya,and Loeser).

(10) Summer School on Resolution of Singularities, June 12 - 30, 2006at the Abdus Salam International Centre for Theoretical Physics- Trieste. (co-organized with Janos Kollar and Bernard Teissier).

(11) Fields Institute Summer School and Conference on Valuation The-ory and Integral Closures in Commutative Algebra, July 2 - 22,2006 in Ottawa Canada. Co-organized with Sara Faradi, Franz-Viktor Kuhlmann and Irena Swanson.

(12) Workshop on Resolution of Singularities, factorization of bira-tional mappings and toroidal geometry, Dec. 11-16, 2004 at BanffInternational Research Station. (co-organized with Ed Bierstone,Kenji Matsuki, Phil Millman and Jarek Wlodarczyk)

(13) Research in Teams on Local Uniformization and Resolution ofSingularities, August 16 - September 6, 2003 (co-organized withFranz-Viktor Kuhlmann).

(14) Hilbert Schemes and Vector Bundles, University of Missouri, Columbia,April 5-7, 2002. (co-organized with Dan Edidin, Zhenbo Qin andQi Zhang).

(15) Algebra Weekend, University of Missouri, Columbia, Oct. 21-22,2001. (co-organized with Hema Srinivasan).

(16) Midwest Algebraic Geometry Conference, University of Missouri-Columbia, Oct. 9-10, 1999. (co-organized with Dan Edidin andQi Zhang).

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(17) Commutative Algebra, AMS special session, Columbia, MO, No-vember 1-3, 1996 (co-organized with H. Srinivasan).

(18) Interactions between Commutative Algebra and Algebraic Geom-etry, Columbia, MO, May 28-30 1993 (Co-organized with HemaSrinivasan)

(19) MidWest-Great Plains Workshop in Commutative Algebra, Columbia,MO, June 15-16 1991 (co-organized with J.Huckaba, I.Papick,H.Srinivasan and D.Weston)

Current Ph.D. Students

(1) Suprajo Das(2) Roberto Nunez(3) Navaneeth Chenicheri Chathoth

Ph.D. Students

(4) Arpan Dutta. Thesis: “Generating Sequences and Semigroups ofValuations”, May 2018.

(5) Razieh Ahmadian. Thesis: “Toroidal Morphisms of 3-Folds”, De-cember, 2015 (School of Mathematics, IPM, Tehran, Iran).

(6) Vinh Pham An. Thesis: “Generating Sequences of Valuations andApplications”, March 2014.

(7) Soumya Sanyal. Thesis: “Irrational Behavior of Algebraic Dis-crete Valuations”, March 2014, Post Doc at the University of Mis-souri in Theoretical Computer Science.

(8) Krishna Hanumantha. Thesis: “Toroidalization of Locally ToroidalMorphisms”, May 2008, Assistant Professor at Chennai Mathe-matical Institute.

(9) Samar El-Hitti. Thesis: “Algebraic Resolution of Formal Idealsalong a Valuation”, May 2008, Assistant Professor at the NewYork City College of Technology (Cuny).

(10) Olga Kashcheyeva. Thesis: “Monomialization of strongly pre-pared morphisms to surfaces”, May 2003, Lecturer at the Univer-sity of Illinois, Chicago.

(11) Russell Goward, Thesis: “Principalization of ideals generated bymonomials”, May 2001. Assistant Professor at the University ofthe District of Columbia

(12) Kent Neuerburg, Thesis: ”On Puiseux series and resolution Graphs”,May 1998. Associate Professor at Southeastern Louisiana StateUniversity.

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Publications of Steven Dale Cutkosky

Journal Articles

(1) Mixed multiplicities of filtrations, with Parangama Sarkar andHema Srinivasan.

(2) Extensions of valuations to the Henselization and completion.(3) Defect and local uniformization, with Hussein Mourtada,

arXiv:1711.02726.(4) On finite and nonfinite generations of associated graded rings of

Abhyankar valuations.(5) Fibers of rational maps and Jacobian matrices, with Marc Chardin

and Quang Hoa Tran, arXiv:1710.00407.(6) Finite generation of extensions of associated graded rings along a

valuation, arXiv:1704.05713.(7) The role of defect and splitting in finite generation of extensions of

associated graded rings along a valuation, Algebra Number Theory11 (2017), 1461 - 1488.

(8) A strong local monomialization theorem, in “Homological andComputational Methods in Commutative Algebra”, Aldo Conca,Joseph Gubeladze and Tim Roemer, editors, Springer INdAM Se-ries 20 (2017).

(9) Local monomialization of analytic maps, Advances in Math. 307(2017), 833 - 902.

(10) Etoiles and valuations, J. Pure Applied Algebra 221 (2017), 588 -610.

(11) A generalization of the Abhyankar Jung theorem, Math. Proc. ofthe Cambridge Philosophical Society 160 (2016), 233-255.

(12) Ramification of valuations and local rings in positive characteris-tic, Communications in Algebra 44 (2016), 2828-2866.

(13) Asymptotic Multiplicities, Journal of Algebra 442 (2015), 260 -298.

(14) Counterexamples to local monomialization in positive character-istic, Math. Annalen. 362 (2015), 321 - 334.

(15) Ramification of Local Rings Along Valuations, with Pham AnVinh, Journal of Pure and Applied Algebra 219 (2015), 2489 -2505.

(16) Limits in Commutative Algebra and Algebraic Geometry, in “Com-mutative Algebra and Noncommutative Algebraic Geometry”, Vol-ume 67 of the MSRI Book Series, Cambridge Univ., 2015.

(17) Teissier’s problem on inequalitites of nef divisors, Journal of Alge-bra and its Applications 14 (2015) (volume in honor of ShreeramAbhyankar).

(18) A general Volume = Multiplicity formula, Acta Mathematica Viet-namica 40 (2015), 139 - 147 (volume in honor of Trung).

(19) Asymptotic multiplicities of graded families of ideals and linearseries, Advances in Mathematics 264 (2014), 55 - 113.

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(20) Valuation semigroups of two dimensional local rings, with PhamAn Vinh, Proceedings of the London Mathematical Society 108(2014), 250 -384.

(21) Valuation semigroups of Noetherian Local Domains, in Valuationtheory in Interaction, European Math. Soc. (2014).

(22) Resolution of singularities in char p and monomialization, in Theresolution of singular algebraic varieties, AMS, Clay Math. Inst(2014), 225 - 238.

(23) Multiplicities associated to graded families of ideals, Algebra andNumber Theory 7 (2013), 2059 - 2083.

(24) A Simpler Proof of Toroidalization of Morphisms from 3-folds toSurfaces, Annales de L’Institut Fourier 63 (2013), 865 - 922.

(25) Multiplicities associated to genereralized symbolic powers, Journalof Commutative Algebra 5 (2013) 93-99.

(26) Lectures on Geometric Methods in Commutative Algebra, Pro-ceedings of the 7th Japan-Vietnam Joint Seminar on Commuta-tive Algebra, Quy Nhon University, Vietnam, Dec. 12 - Dec. 16,2011.

(27) A Skeleton Key to Abhyankar’s Proof of Embedded Resolution ofCharacteristic p Surfaces, Asian Journal of Math. 15 (2011), 369- 416, Hironaka Volume.

(28) Asymptotic Growth of Saturated Powers and Epsilon Multiplicity,Math. Research Letters 18 (2011) 93 - 106.

(29) Asymptotic Regularity of Powers of Ideals of Points in a WeightedProjective Space, with Kazuhiko Kurano, Kyoto Journal of Math.,51 (2011) 25 - 45.

(30) Formal Prime Ideals of Infinite Value and Their Algebraic Reso-lution, with Samar ElHitti, Annales De La Faculte Des SciencesDe Toulouse, Mathematiques, 19 (2010) 635 - 649.

(31) Semigroups of valuations on local rings, II with Bernard Teissier,American J. of Math., 132 (2010), 1223 - 1247.

(32) Growth of Rank 1 Valuation Semigroups, with Kia Dalili and OlgaKascheyeva, Communications in Algebra 38 (2010), 2768 - 2789.

(33) Finite generation of algebras associated to powers of ideals, withJuergen Herzog and Hema Srinivasan, Math. Proc. of the Camb.Phil. Soc. 148 (2010), 55 - 72.

(34) Resolution of Singularities for 3-folds in positive characteristic,American J. of Math. 131 (2009), 59-127.

(35) Semigroups of valuations on local rings, with Bernard Teissier,Mich. Math. J. 57 (2008), 173-194.

(36) Duality and Tameness, with Marc Chardin, Jurgen Herzog andHema Srinivasan, Mich. Math. J. 57 (2008), 137-156.

(37) Algebraic Series and Valuation Rings over Nonclosed Fields, withOlga Kashcheyeva, J. of Pure and Applied Algebra 212 (2008),1996-2010.

(38) Failure of Tameness for Local Cohomology, with Jurgen Herzog,J. of Pure and Applied Algebra 211 (2007), 428-432.

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(39) Factorizations of birational extensions of local rings, with HemaSrinivasan, eprint AC/0601393, Illinois Journal of Mathematics 51(2007), 41-56 (volume in honor of Phil Griffith).

(40) Poincare series of surface singularities, Commutative Algebra, Geo-metric, Homological, Combinatorial and Computational Aspects,Lecture Notes in Pure and Applied Mathematics Volume 244,Chapman and Hall (2006), 49-58.

(41) Local Monomialization of Transcendental Extensions, Annales deL’Institut Fourier 55 (2005), 1517 – 1586.

(42) Asymptotic behavior of the length of local cohomology, with HuyTai Ha, Hema Srinivasan and Emanoil Theodorescu, Canadian J.Math. 57 (2005), 1178 – 1192.

(43) Arithmetic Macaulayfication of Projective Schemes, with Huy TaiHa, Journal of Pure and Applied Algebra 201 (2005), 49 – 61.

(44) Completions of Valuation Rings, with Laura Ghezzi, Contempo-rary Math. 386 (2005), 13 – 34.

(45) Multi-graded algebras associated to surface singularities, Contem-porary Mathematics 390 (2005), 73 – 84.

(46) Monomialization of Strongly Prepared Morphisms to surfaces, withOlga Kashcheyeva, Journal of Algebra 275 (2004), 275 - 320.

(47) Ramification of Valuations, with Olivier Piltant, Advances in Math-ematics 183 (2004), 1-79.

(48) The Structure of Morphisms, in Algebra, arithmetic and geometrywith applications, 273-281, Springer, Berlin, 2004.

(49) Poincare Series of Resolutions of Surface Singularities, with AnnaReguera and Jurgen Herzog, Transactions of the AMS 356 (2003),1833 - 1874.

(50) Monomialization and Ramification of Valuations, in Nato/OtanAdvanced Research Workshop on “Commutative Algebra, Singu-larities and Computer Algebra”, 2003.

(51) Poincare series of line bundles on varieties, in A Tribute to C.S.Seshadri, Hindustan Book Agency, 2003, 220-240.

(52) Ramification of Valuations and Singularities, Algebra and Geom-etry, Hindustan Book Agency, 2003, 147-158.

(53) Generically finite morphisms and simultaneous resolution of sin-gularity, Contemporary mathematics, 2003.

(54) Resolution of Morphisms, in “Valuation Theory and its Applica-tions. Volume I”, Fields Institute Communications, 2002, 117-140.

(55) Positivity and Complexity of Ideals Sheaves, (with Lawrence Einand Robert Lazarsfeld), Math. Annalen 321, (2001) 213-234.

(56) Isomorphism of complexes and lifts, (with Hema Srinivasan), inGeometric and combinatorial aspects of commutative algebra (Messina1999), Lecture Notes in Pure and Applied Algebra 217, DekkerNY, 2001.

(57) Local Monomialization, in Geometric and combinatorial aspectsof commutative algebra (Messina 1999), Lecture Notes in Pureand Applied Algebra 217, Dekker NY, 2001.

(58) Towards a criterion for isomorphism of complexes, (with HemaSrinivasan), in Ideal theoretic methods in commutative algebra,

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(Columbia MO 1999), Lecture Notes in Pure and Applied Math-ematics 220, Dekker NY, 2001.

(59) Monomial resolutions of morphisms of algebraic surfaces, (with O.Piltant), Communications in Algebra 28 (Special Issue in honorof Hartshorne) (2000), 5935-5960.

(60) Valuations in Algebra and Geometry, in Singularities in Algebraicand Analytic Geometry, Caroline Grant Melles, Ruth I Michlereds., Contemporary Mathematics 266 (2000), 45-64.

(61) Irrational Asymptotic Behaviour of Castelnuovo regularity, Jour-nal fur die reine und angewandte Mathematik 522 (2000), 93-103.

(62) Vanishing of differentials along ideals and non-archimedean ap-proximation, (with R. Hubl), Math. Annalen 317 (2000), 295-308.

(63) The algebraic fundamental group of the complement of a curvesingularity, (with H. Srinivasan), J. algebra 230 (Buchsbaum Vol-ume) (2000), 101-126.

(64) Simultaneous Resolution of Singularities, Proc. Amer. Math. Soc.128 (2000), 1905-1910.

(65) Local Monomialization and Factorization of Morphisms, Asterisque260 (1999).

(66) Asymptotic regularity of ideals, the Proceedings of the 21st Sym-posium on Commutative Algebra, held in Tokyo, Japan, Nov. 23-26, 1999.

(67) Monomialization of Morphisms, the Proceedings of the 21st Sym-posium on Commutative Algebra, held in Tokyo, Japan, Nov. 23-26, 1999.

(68) Asymptotic behaviour of the Castelnuovo-Mumford regularity, (withJ. Herzog and Ngo Viet Trung), Compositio Math. 118 (1999),243-261.

(69) Cohen Macaulay coordinate rings of blowup schemes, (with J.Herzog), Comm. Math. Helvetici 72 (1997), 605-617.

(70) Local factorization of birational maps, Advances in Math 132(1997), 167-315.

(71) Equivalence and finite determinancy of mappings, (with H. Srini-vasan), Journal of Algebra 188 (1997), 16-57.

(72) Simple connectedness of projective varieties, Proc. Amer. Math.Soc. 125 (1997), 679-684.

(73) Purity of the branch locus and Lefschetz theorems, CompositioMath. 96 (1995), 173-195.

(74) A vanishing theorem for local rings, Appendix to Adjoints of idealsin regular local rings, J. Lipman, Mathematical Research Letters 1(1994), 752-754.

(75) Purity of the Branch Locus, in Commutative Algebra, W. Bruns,J. Herzog, M. Hochster, U. Vetter, eds, Verlag Druckerei RungeGmbH, Cloppenburg, (1994), 47-50.

(76) Complete ideals in algebra and geometry, Contemporary Math.,159 (1994), 27-39.

(77) Periodicity of the fixed locus of multiples of a divisor on a surface,(with V. Srinivas), Duke Math. J. 72 (1993), 641-647.

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(78) An intrinsic Criterion for Isomorphism of Singularities, (with H.Srinivasan), Amer. J. Math 115 (1993), 789-822.

(79) Local fundamental groups of surface singularities in characteristicp, (with H. Srinivasan), Comment. Math. Helvetici 68 (1993),319-332.

(80) On a problem of Zariski on dimensions of linear systems, (with V.Srinivas), Annals of Mathematics, 137 (1993), 531-559.

(81) When are the blow ups of two ideals the same scheme?, Commu-nications in Algebra. 19 (1991), 1119–1124.

(82) Symbolic algebras of monomial primes, Journal fur die reine undangewandte Mathematik (Crelle’s Journal). 416 (1991), 71–89.

(83) A new characterization of rational surface singularities, Inven-tiones Math. 102 (1990), 157–177.

(84) On Fano 3-folds, Manuscripta Math. 64 (1989), 189–204.(85) On unique and almost unique factorization of complete ideals II,

Inventiones Math. 98 (1989), 59–74.(86) On unique and almost unique factorization of complete ideals,

Amer. J. Math. 111 (1989), 417–433.(87) Weil divisors and symbolic algebras, Duke Math. J. 57 (1988),

175–183.(88) Elementary contractions of gorenstein threefolds, Math. Ann. 280

(1988), 521–525.(89) Factorization of complete ideals, J. Algebra 115 (1988), 144–149.(90) Zariski decomposition of divisors on algebraic varieties, Duke Math.

J. 53 (1986), 149–156.

Books

(90) Toroidalization of dominant morphisms of 3-folds, Memoirs of the AMS,Volume 190, American Mathematical Society, Providence (2007),222 pages.

(91) Resolution of Singularities, AMS Graduate Studies in Mathematics63, American Mathematical Society, Providence (2004), 186 pages.

(92) Monomialization of Morphisms from 3 Folds to Surfaces, Springer Lecturenotes, LNM 1786 (2002), 235 pages.

(93) Local Monomialization and Factorization of Morphisms, Asterisque no.260 (1999), 143 pages.

Featured Review

My paper Local Factorization of Birational Maps, Advances in Math 132(1997), 167-315 is the subject of the “featured review” 99c:14018 inMathematical Reviews.

Articles in memory of Shreeram Abhyankar and his work

(1) The mathematical life of Shreeram Abhyankar, European Mathe-matical Society Newsletter, June 2013, 39 - 41.

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(2) An homage to Professor Abhyankar, Appendix to RememberingShreeram S. Abhyankar by S. Ghorpade (with appendices by A.Sathaye, B. Singh, S.D. Cutkosky and R.V. Gurjar), Asia PacificMathematics Newsletter 3, January 2013. 22-30. This article isreprinted in Resonance 18 (2013), 397 - 411 and the RMS Math-ematics Newsletter 23 (2013), 271 - 279.

(3) Abhyankar’s fundamental contributions to resolution of singular-ities, in the Notices of the AMS, Nov. 2014.

INVITED TALKS

(1) Algebra Seminar, University of Arkansas, October 6, 2017, “Localuniformization and defect”.

(2) Colloquia, University of Arkansas, October 5, 2017, “Monomial-ization of analytic maps”.

(3) Singularities Seminar, Nihon University, Japan, July 17, 2017,“The role of defect in local uniformization”.

(4) Conference on The prospects for Commutative Algebra, Osaka,Japan, July 12,, 2017, “Finite generation of extensions of associ-ated graded rings along a valuation”.

(5) Seminar, Univ. Valladolid, Spain, June 12, 2017, “Finite genera-tion of associated graded rings along arbitrary valuations”.

(6) Seminar, Univ. Autonoma, Madrid, Spain, June 5, 2017, “Ex-tension under projection of associated graded rings along a valu-ation”.

(7) Workshop on ordinary and symbolic powers of ideals, BIRS, Oax-aca, Mexico, May 16, 2017, “Symbolic algebras of monomial curves”.

(8) Conference in honor of Vincent Cossart, University of Versailles,France, December 9, 2016, “The role of defect and non splittingin finite generation of extensions of associated graded rings alonga valuation”.

(9) 24th Brazilian Algebra Meeting, Diamantina, Brazil, August 2,2016, “Local monomialization of analytic maps”.

(10) XXI Coloquio Latinamericano de Algebra, Buenos Aires, Argentina,Special Session on Homological Methods, July 28 2016, “Applica-tions of volume to commutative algebra”.

(11) XXI Coloquio Latinamericano de Algebra, Buenos Aires, Argentina,Special Session on Commutative Algebra and Algebraic Geometry,July 26, 2016, “Graded rings associated to valuations”.

(12) Commutative algebra and its interactions with algebraic geome-try (in honor of Craig Huneke), Univ. Michigan, July 7, 2016,“Abhyankar Jung Theorems for Valuations”.

(13) Workshop on two approaches towards local uniformization andresolution of singularities in char p > 0, Mittag Leffler Institute,Stockholm, Sweden May 23, 2016, “Graded rings associated tovaluations and the condition of finite generation”.

(14) First Meeting of the Network of Algebraic Geometry and Singu-larities, University of Barcelona, Spain, January 29, 2016, “Localstructure of complex and real analytic mappings”.

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(15) AMS Special Session on Advances in Valuation Theory, RutgersUniv, New Brunswick, NJ, Nov. 14, 2015, “A generalization ofAbhyankar’s theorem to extensions of associated graded rings ofvaluations”.

(16) Algebra Seminar, Univ. Kansas, Nov. 5. 2015, “ A generaliza-tion of the Abhyankar Jung theorem to associated graded rings ofvaluations”.

(17) AMS Special Session on Commutative Algebra, Loyola Univ. Chicago,Oct 4, 2015, “Epsilon multiplicity as a limit”.

(18) Colloquium Talk, Mathematics Department of the University ofIllinois, Chicago, Oct. 2. 2015, “Mappings of complex and realanalytic spaces”.

(19) Midwest Commutative Algebra Conference, Purdue University,August 6, 2015, “ A generalization of the Abhyankar Jung the-orem to associated graded rings of valuations”.

(20) Singular Landscapes Conference in honor of Bernard Teissier’s70th Birthday, Center Paul-Langevin, Aussois, France, June 22,2015, “Local Monomialization of Analytic Maps”.

(21) Algebra Seminar, University Autonoma of Madrid, “Counterex-amples to local monomialization of morphisms in positive charac-teristic”, June 18, 2015.

(22) Singularities Seminar, Univ. Paris 7, “Analytic local monomial-ization”, June 3, 2015.

(23) Seminar, University of Valladolid, Spain, “Analytic local mono-mialization”, May 12, 2015.

(24) Commutative Algebra Seminar, University of Utah, “Stable formsof generically finite morphisms along a valuation in arbitrary char-acteristic”, April 3, 2015.

(25) Conference on Applications of Artin Approximation in Singular-ity Theory, Luminy Campus Marseille, France, “Local monomial-ization in all characteristics and the construction of an algebraicmonomialization from a formal monomialization”, Feb. 3, 2015.

(26) Conference on Valuation Theory and its Applications, Oberwol-fach, Germany, Nov. 30, 2014, “Extensions of associated gradedrings along a valuation”.

(27) KUMUNU conference, University of Missouri, Columbia, Sept.28, 2014, “Local monomialization in positive characteristic”.

(28) Conference on Commutative Algebra and Singularity Theory, Toyama,Japan, July 30, 2014, “Ramification and Monomialization in Pos-itive Characteristic”.

(29) Commutative Algebra Seminar, Meiji University, Tokyo, Japan,July 26, 2014, “Asymptotic multiplicity of graded families of ideals”.

(30) Summer School around Valuation Theory, Nesin Math Village,Sirince, Turkey, May 22 - 26, 2014. Two hour long talks on “Ram-fication, Monomialization and Defect of Valuations I and II”.

(31) AMS Special Session on Algebraic Geometry, Lubbock, Texas,April 12, 2014, “Volume of graded linear series on projective schemesover arbitrary fields”.

(32) AMS Special Session on Commutative Algebra, Washington Univ.,St. Louis, Oct. 19, 2013, “Teissier’s Problem on Inequalities ofNef Divisors”.

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(33) Special session on Commutative algebra and algebraic geometry,Mathematical Congress of the Americas, Guanajuato, Mexico,August 8, 2013, “Applications of asymptotic multiplicities andvolumes”.

(34) Commutative Algebra and its interactions with algebraic geome-try, CIRM, Luminy Campus Marseille, July 9, 2013, “AsymptoticMultiplicities”.

(35) The third international symposium on groups, algebras and re-lated topics, Peking University, June 11, 2013, “Multiplicities as-sociated with graded families of ideals”.

(36) Mathematical Sciences Research Institute workshop on The com-mutative algebra of singularities in birational geometry, May 7,2013, “Multiplicities of graded families of linear series”.

(37) Mathematical Sciences Research Institute, April 8, 2013, “Someexamples, theorems and problems on asymptotic regularity”.

(38) Mathematical Sciences Research Institute, March 7, 2013, “Limitsof graded families of ideals”.

(39) Evans Lecture Series, University of California, Berkeley, Feb. 11,2013, “Multiplicities of graded families of ideals”.

(40) Colloquium Talk, University of Vienna, November 28, 2012, “Thelegacy of Shreeram Abhyankar”.

(41) Seminar, University of Regensburg, November 2, 2012, “Ramifi-cation of local rings along valuations”.

(42) Seminaire de singularites, University of Paris VII, October 22,2012, “Ramification of local rings along valuations”.

(43) Seminar, Math. Insitute, University of Valladolid, Spain, October17, 2012, “Asymptotic multiplicities”.

(44) Seminaire de singularites, University of Paris VII, October 8, 2012,“Asymptotic multiplicities”.

(45) Conference in honor of Professor Abhyankar’s 82 birthday, “Mul-tiplicities associated to graded families of ideals”, July 6, 2012.

(46) The resolution of singular algebraic varieties, Clay Math. Inst.Summer school, series of three 90 minute lectures on ”Resolutionof singularities in positive characteristic and local monomializa-tion”, week of June 25 - June 30, 2012.

(47) Bluegrass Algebra Conference, Univ. Kentucky, June 16, 2012,“Multiplicities associated to graded families of ideals”.

(48) Special session on algebraic geometry and its applications, Univ.Kansas, March 31, 2012, “The stellar vault”.

(49) 7th Japan-Vietnam Joint Seminar on Commutative Algebra, QuyNhon University, Vietnam, Dec. 12 - Dec. 16, 2011. Series ofLectures on “Geometric Methods in Commutative Algebra”.

(50) Algebraic Geometry Seminar, Univ. Michigan, Oct 12, 2011, “As-ymptotic Growth of Saturated Powers and Epsilon Multiplicity”.

(51) AMS Special Session on Commutative Algebra, Univ. Utah, Oct.22, 2011, “Asymptotic Growth of Saturated Powers and EpsilonMultiplicity”.

(52) Commutative Algebra and Algebraic Geometry Conference, Uni-versity of Illinois, Nov. 5, 2011, “Asymptotic Growth of SaturatedPowers of Ideals and Epsilon Multiplicity”.

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(53) Conference on Number Theory, Algebraic Geometry and ModelTheory, in honor of Jan Denef, CIRM, Luminy France, Sept. 15,2011, “Ramification and Monomialization along a Valuation”.

(54) Second International Conference on Valuation Theory, El Esco-rial, Spain, July 27, 2011, “Semigroups of valuations dominatinga Noetherian local domain”.

(55) Midwest Commutative Algebra and Geometry Conference, Pur-due University, May 24, 2011, “Generating sequences and semi-groups of valuations”.

(56) International Conference on Algebra and Algebraic Geometry, inhonor of Professor Shreeram S. Abhyankar, on his 80th birthday,University of Pune, Pune, India, Dec 18, 2010, “Semigroups ofValuations”.

(57) Commutative Algebra and interactions with Algebraic Geometry,CIRM, Marseille-Luminy, Nov. 3, 2010, “Asymptotic growth ofsaturated powers and epsilon multiplicity”.

(58) Conference on Algebra and Algebraic Geometry with Applica-tions: Celebration of the Eightieth Birthday of Professor ShreeramS. Abhyankar, Purdue University, July 21, 2010, “A simpler proofof monomialization of maps from 3-folds”.

(59) GSSCCF Commutative Algebra Meeting, Orlando Florida, Janu-ary 24, 2010, “Semigroups of Valuations”.

(60) Workshop on Geometrical and Combinatorial Aspects of Commu-tative Algebra, Messina, Italy, September 17, 2009, “AsymptoticRegularity of Powers of Ideals of Points in a Weighted ProjectiveSpace”.

(61) Oberwolfach Workshop on Kommutative Algebra, April 24, 2009,“Toroidalization in Higher Dimensions”.

(62) Special session on local and homological methods in commutativealgebra, AMS meeting, Urbana, Illinois, March 28, 2009, “Asymp-totic Growth of Algebras Associated to Powers of Ideals”.

(63) Fifth Meeting for Young Mathematicians in Sedano, (in Sedano,Spain), Course of lectures on Valutions, Feb 12 - 21, 2009.

(64) Workshop in Algebra, Geometry and Topology, IIT Madras, Courseof lectures on Resolution of Singularities, Dec. 22, 2008 - Jan 3,2009.

(65) Singularities Seminar, Nihon University, Tokyo, “Toroidalizationand Resolution of Logarithmic Differential Forms”, Dec. 8, 2008.

(66) Commutative Algebra Seminar, Meiji University, Tokyo, “HilbertFunctions Associated to Saturated Powers of Ideals”, Dec. 6, 2008.

(67) Workshop on Resolution of Singularities, RIMS Kyoto, Dec. 1-5,2008.

(68) Conference at Tulane associated with Clifford Lectures, “LocalMonomialization of Morphisms”, Nov. 15, 2008.

(69) University of Michigan Commutative Algebra Seminar, “Asymp-totic Growth of Algebras Associated to Powers of Ideals”, October23, 2008.

(70) Special Session on Hilbert Functions and Free Resolutions, Van-couver, Oct. 4, 2008, “Asymptotic Growth of Generalized Sym-bolic Algebras”.

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(71) Commutative Algebra and interactions with Algebraic Geome-try, CIRM, Marseille-Luminy, September 30, 2008, “AsymptoticGrowth of Semigroups of Valuations”.

(72) Workshop on Resolution of Singularities, Clay Math. Institute,September 22 -23, 2008.

(73) University of Valladolid, Algebraic Geometry Seminar, Feb. 20,2008, “Asymptotic Properties of Powers of Ideals”.

(74) University Autonoma of Madrid, Algebraic Geometry Seminar,Feb. 18, 2008, “Monomialization of Morphisms”.

(75) Seville Conference on Combinatorial and Computational Commu-tative Algebra, Feb. 13, 2008, “Semigroups of Valuations”.

(76) University of Versailles, Algebraic Geometry Seminar, Feb. 5,2008, “Local Strong Factorization of Birational Morphisms”.

(77) University of Paris 7, Singularities Seminar, Feb. 4, 2008, “Alge-braic Series over Non Closed Fields”.

(78) University of Essen Oberseminar, Jan. 31, 2008, “Toroidalizationof Morphisms”.

(79) University of Paris, 7, Mini conference on algebraic geometry, “Lo-cal Cohomology of Powers of ideals”.

(80) IIT, Madras, Colloquium Talk, Jan. 17. 2008, “Monomializationof Morphisms”.

(81) CIMPA Conference on Commutative Algebra, IIT Bombay, Mum-bai Jan. 9, 2008, “Properties of High Powers of Ideals”.

(82) Commutative Algebra Conference in Honor of Juergen Herzog,Cortona, Italy, Sept 19, 2007, “Asymptotic Properties of Ideals”.

(83) KUMUNU Conference, Lincoln, Nebraska, Sept. 8, 2007, “Semi-groups of Valuations on Local Rings”

(84) Workshop on Commutative Algebra and Algebraic Geometry, BIRS,Banff, Canada, June 13, 2007, “Nontame Rees Algebras”.

(85) Special Session on Commutative Algebra and Algebraic Geome-try, AMS meeting, Davidson, NC., March 4 2007, “Pathologicalasymptotic behavior of Local Cohomology”.

(86) Special Session on Commutative Algebra and Algebraic Geom-etry, AMS meeting, New Orleans, January 8, 2007, “Failure ofTameness for Local Cohomology”.

(87) Algebraic Geometry Seminar, University of Versailles (France),November 21, 2006, “Torodalization of morphisms I”.

(88) Algebraic Geometry Seminar, University of Versailles (France),November 28, 2006, “Torodalization of morphisms II”.

(89) Workhop on Syzygies and Hilbert Functions, BIRS, Banff, Canada,October 18. 2006, “Failure of tameness for local cohomology”.

(90) Fields Institute Summer School and Conference on Valuation The-ory and Integral Closures in Commutative Algebra, Ottawa, Canada,July 2 - 22, 2006, “Geometric theory of local rings”: 3 lectures.

(91) Summer School on Resolution of Singularities, ICTP, Trieste, Italy,June 12 - June 30, 2006. “Basics of Algebraic Geometry”: 3lectures, “Monomialization and Torodalization of Morphisms”: 3lectures.

(92) Algebre Commutative et Geometrie Algebrique, CIRM, Marseille-Luminy, May 25, 2006, “Differential Forms and Toroidalization”.

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(93) Special Session on Commutative Algebra and Algebraic Geome-try, AMS meeting, Miami, Florida, April 1, 2006, “LogorithmicDifferential Forms”.

(94) Special Session on Syzygies in Commutative Algebra and Geom-etry, AMS meeting, San Antonio, Texas, January 12, 2006, “Effi-cient Toroidalization of Morphisms”.

(95) Algebra Seminar Talk, University of Kansas, Lawrence, November10, 2005, “Hypersurfaces of maximal contact and toroidalization”.

(96) Colloquium Talk, University of Kansas, Lawrence, November 10,2005, “Algebraic Mappings”.

(97) Midwest Algebra, Geometry and their Interactions Conference,University of Notre Dame, October 8, 2005, “Toroidalization ofProjective Morphisms”.

(98) Commutative Algeba Conference, honoring the contributions ofPhillip Griffith, Urbana, Illinois, September 17, 2005, “On under-standing valuations through power series”.

(99) Indian Institute of Technology (IIT), Bombay, July 8, 2005, “Toroidal-ization of Morphisms”.

(100) Special session on Hilbert Functions, Joint meeting of AMS/DMV,Mainz Germany, June 18, 2005, “Poincare Series and Hilbert Func-tions of Surface Singularities”.

(101) University of Barcelona, June 15, 2005, “The Toroidalization andFactorization of Morphisms of Projective varieties”.

(102) Seminaire sur les Singularites, University of Paris VII, June 13,2005 “Toroidalization of Morphisms”.

(103) Nebraska Commutative Algebra Confrence: Wiegandfest, May 9,2005, “Toroidalization of Morphisms”.

(104) Algebra Seminar Talk, University of Illinois Chicago, March 24,2005, “Toroidalization of Morphisms”.

(105) Colloquium Talk: Tulane University, March 17, 2005, “PolynomialMappings”.

(106) Special Session on Commutative Algebra, AMS meeting, Atlanta,Georgia, Jan 5 - 8. 2005, “Graded Algebras Associated to SurfaceSingularities”.

(107) Workshop on Resolution of singularities, Factorization of Bira-tional Mappings and Toroidal Geometry, Dec 11-16, 2004 at theBanff International Research Station, Banff, Canada, Lecture se-ries of three 50 minute talks on “Toroidalization of Morphisms”.

(108) Special Session on Algebraic Geometry and Commutative Algebra,AMS meeting, Nashville, TN, October 16 - 17, 2004, “GradedAlgebras Associated to Surface Singularities”.

(109) Colloquium Talk: University of Nebraska, Oct. 8, 2004, “Alge-braic Mappings of 3-folds”.

(110) Workshop on Commutative Algebra, Sept. 11-16, 2004 at theBanff International Research Station, Banff, Canada, “Toroidal-ization of birational morphisms of 3-folds”.

(111) Conference on Commutative Algebra and Interactions with Alge-braic Geometry and Combinatorics, June 5-12, 2004 at The AbdusSalam International Center for Theoretical Physics, Trieste, Italy,“Toroidalization of birational morphisms of 3-folds”.

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(112) Conference in Honor of Joseph Lipman, May 17-21, 2004 at Pur-due University, “Toroidalization of morphisms”

(113) Special Session on Commutative Algebra and Algebraic Geometry,AMS meeting, Lawrenceville, NJ, April 17-18, 2004, “AsymptoticBehavior of the Length of Local Cohomology”.

(114) Colloquium Talk: Rutgers University, April 16, 2004, “Monomi-alization and Toroidalization of Morphisms of 3-folds”.

(115) Special Session on Syzygies and Hilbert Functions, AMS meet-ing, Tallahassee, Florida, March 12-13, 2004, “Poincare Series ofSurface Singularities”.

(116) Joint India-AMS mathematical meeting, Bangalore, December 18,2003, Special Session in Commutative Algebra, “Monomializationof Birational Morphisms of 3-folds”.

(117) Joint Meeting of the Spanish and American Mathematical So-cieties, Seville, June 21, 2003, Special Session in CommutativeAlgebra, “Poincare Series of Resolutions of Surface Singularities”.

(118) Algebre Commutative et Geometrie Algebrique, CIRM, Marseille-Luminy, June 3, 2003, “Poincare Series of Singularities”.

(119) Bach2 Conference, University of Kentucky, April 12, 2003, “Ram-ification of Valuations”.

(120) Algebra Seminar, Texas A and M University, February 21, 2003,“Monomialization of Mappings”.

(121) MSRI Workshop on “Commutative Algebra: Local and BirationalTheory”, MSRI, Berkeley, California, December 2, 2002, “Rami-fication and Resolution in Transcendental Extensions”, video andnotes from lecture online at www.msri.org/publications/ln/msri/2002/birational/cutkosky/1/index.html.

(122) Nato/Otan Advanced Research Workshop on “Commutative Alge-bra, Singularities and Computer Algebra”, Sinaia Romania, Sep-tember 19, 2002, “Ramification of Valuations”.

(123) Talk in Oberseminar, University of Essen, Germany, June 25,2002, “Poincare Series of Resolutions of Surface Singularities”.

(124) Conference on “Current Trends in Commutative Algebra”, LevicoItaly, June 17 - June 21, 2002, “Ramification of Valuations”.

(125) Conference at University of Tennessee, April 25 - 27, 2002, “Si-multaneous Resolution of Singularities”.

(126) Colloquiumfest, University of Sakatchewan, Saskatoon, Canada,March 24, 2002, “Ramification of Valuations”.

(127) AMS meeting, Ann -Arbor, Michigan, Special Session in Commu-tative Algebra, March 1- 3, 2002, “Ramification of Valuations”.

(128) Commutative Algebra Days, Nebraska, March 16, “Ramificationof Valuations”.

(129) Mathematical Sciences Institute, Madras, India, December 17,2001, “A Counterexample to global simultaneous resolution”.

(130) International Conference on Algebra and Geometry, University ofHyderabad, Hyderabad, India, December 7 - 12, 2001, “Simulta-neous Resolution”.

(131) Colloquium Talk, Washington University, St. Louis, Nov. 27,2001, “Resolution of mappings”.

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(132) Colloquium Talk, University of Kentucky, Lexington, Nov. 20,2001, “Resolution of mappings”.

(133) Colloquium Talk, University of Kansas, Lawrence, Nov. 1, 2001,“Finite mappings and ramification of valuations”.

(134) AMS-SMF Meeting, Lyon, France, Special Session on Commuta-tive Algebra, July 17, 2001, “Hilbert Functions of Ideal Sheaves”

(135) Commutative Algebra, Interactions with Algebraic Geometry, In-stitut Fourier, Grenoble, July 14, 2001, “Generically finite mor-phisms and Ramification of Valuations”.

(136) Algebra Seminar, University of Messina, Sicily, “Ramification ofValuations I” (June 26) and “Ramification of Valuations II” (June28).

(137) Algebra Seminar, University of Messina, Sicily, “Asymptotic Reg-ularity I” (June 19) and “Asymptotic Regularity II” (June 21).

(138) Conference on Singularities of Algebraic Varieties and Desingular-itization, University of Versailles, France June 13, 2001, “Ramifi-cation of Valuations”.

(139) Commutative Ring Theory and Applications, June 10, 2001, Fez,Morocco, “Ramification Theory of Valuations”.

(140) Seminaire sur les Singularites, University of Paris VII, June 7,2001 “Ramification of Valuations”.

(141) AMS Meeting, Invited Address, Lawrence, Kansas, March 31,2001, “Monomialization of Morphisms”.

(142) AMS Meeting, Special Session in Algebraic Geometry, Lawrence,Kansas, March 30, 2001, “Vanishing of Differentials along Ideals”.

(143) CMS Meeting, Symposia in Algebraic Geometry, Vancouver, De-cember 10, 2000, “Monomialization of morphisms”.

(144) Algebraic Geometry Seminar, University of Toronto, September25, 2000, “Monomialization of Morphisms”.

(145) AMS Meeting, Special Session in Commutative Algebra and Alge-braic Geometry, Toronto, September 24, 2000, “Monomializationof Morphisms”.

(146) Algebra Conference at University of Kansas, September 2, 2000,“Monomialization of Morphisms”.

(147) Conference in honor of Abhyankar’s 70th Birthday, Purdue Uni-versity, July 22, 2000, “Monomialization of Morphisms”.

(148) University of Vallodolid, Spain, July 17, 2000, “Asymptotic Reg-ularity”.

(149) University of Vallodolid, Spain, July 4 and July 11, 2000, 2 talkson “Monomialization of Morphisms”.

(150) Algebre Commutative et Geometrie Algebrique, CIRM, Marseille- Luminy, June 9, 2000, “Monomialization of Morphisms”.

(151) Conference at University of Nebraska, May 29, 2000, “Monomial-ization of Morphisms”.

(152) AMS Meeting, Special Session in Commutative Algebra and Alge-braic Geometry, Lowell Massachusetts, March 30, 2000, “Asymp-totic regularity and Seshadri constants”.

(153) Number Theory Seminar, Boston University, March 13, 2000, “Al-gebraic Fundamental Groups of Curve Singularities”.

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(154) Algebraic Geometry Seminar, Harvard University, February 22,2000, “Monomialization of Morphisms”.

(155) Algebra Seminar, Northeastern University, February 7, 2000, “As-ymptotic Regularity and Seshadri Constants”.

(156) Workshop on Invariant Theory, University of Pune, Pune, India,Dec 26-27, 1999, Course of 3 Lectures on “An Introduction toResolution of Singularities”.

(157) Colloquium talk, Institute of Mathematical Sciences, Madras, In-dia, Dec. 20, 1999, “Asymptotic regularity and Seshadri con-stants”.

(158) Colloquium talk, Mehta Research Institute of Mathematics andMathematical Physics, Allahabad, India, Dec. 14, 1999, “Mono-mialization of Morphisms”.

(159) Colloquium talk, Indian Institute of Science, Bangalore, India,Dec. 7, 1999, “Asymptotic regularity and Seshadri constants”.

(160) Conference on Commutative Algebra, Tokyo, Japan, Nov. 23-26,1999, 2 hour long talks. “Monomialization of morphisms” and“Asymptotic regularity”.

(161) Algebraic Geometry Seminar, University of Tokyo, Japan, Nov.22, 1999, “Monomialization of morphisms”.

(162) Course of 15 90 minute talks on resolution of singularities andmappings, Chennai Mathematical Institute, Madras, India, Oct.18 - Dec. 20, 1999.

(163) Special Session in Commutative Algebra, AMS meeting, Salt LakeCity, Sept. 25 - 26, 1999, “Monomialization of Projective Mor-phisms”.

(164) Kommutative Algebra and Algebraische Geometrie, Oberwolfach,Germany, August 8 - 14, 1999, “Local monomialization of mor-phisms” (1 hour talk).

(165) International Conference on Valuation Theory, Saskatoon, Canada,July 24- August 4, 1999, “Local monomialization of morphisms”(1 hour plenary talk).

(166) Seminar talk, Univ. Reggio Calabria, June 20, 1999, “AsymptoticRegularity”.

(167) Conference on Commutative Algebra and Algebraic Geometry,Univ. Messina, Sicily, Italy, June 16 - 19, 1999, “Monomializa-tion of Morphisms” (1 hour plenary talk).

(168) Colloquim talk, Univ. Kansas, Spring 1999, “Factorization andmonomialization of morphisms”.

(169) Special Session in Commutative Algebra, AMS meeting, Urbana,Illinois, March 18-21, 1999, “Local factorization of birational map-pings”.

(170) Special Session in Commutative Algebra and Algebraic Geometry,AMS meeting, San Antonio, January 15 - 16, 1999, “AsymptoticBehavour of Regularity”.

(171) Special Session in Singularities in Algebraic and Analytic Geom-etry, AMS meeting, San Antonio, January 13 - 15, 1999, “Mono-mialization and Factorization of Mappings”.

(172) Colloquium Talk, Michigan State University, November 12, 1998,“Local factorization and monomialization of morphisms”.

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(173) Algebraic Geometry Seminar, Johns Hopkins University, Septem-ber 29 and 30, 1998, “Local factorization and monomialization ofmorphisms”.

(174) Special Session on Commutative Algebra, AMS meeting, Chicago,September 12-13, 1998, “Simultaneous resolution of singularities”.

(175) Colloquium Talk, Indian Institute of Technology, Bombay, In-dia, July 20, 1998 “Cohen-Macaulay coordinate rings of blowupschemes”.

(176) Colloquium Talk, SPIC Science Foundation, Madras, India, July13, 1998, “Local factorization and monomialization of morphisms”.

(177) Colloquium Talk, Tata Institute of Fundamental Research, Bom-bay, India, June 23, 1998, “Local factorization and monomializa-tion of morphisms”.

(178) Conference on Homological Methods, Genoa, Italy, June 9, 1998,“Simultaneous resolution of singularities”.

(179) University of Nebraska Centennial Celebration, May 16, 1998,“Factorization and monomialization of morphisms”.

(180) Special Session on Commutative Algebra, AMS meeting, Louisville,March 21, 1998, “Local factorization and monomialization of Mor-phisms”.

(181) Special Session on Commutative Algebra, AMS meeting, January,1998, “Local factorization and monomialization of Morphisms”.

(182) Colloquium talk, University of Versailles (France), December 18,1997, “Factorization of birational morphisms”.

(183) Colloquium talk, University of Versailles (France), December 11,1997, “The Riemann-Roch problem”.

(184) Special Session on Commutative Algebra, AMS meeting, Mon-treal, Canada, Sept 26-27 1997, “Monomialization and factoriza-tion of generically finite morphisms”.

(185) Colloquium Talk, Universitat Regensburg (Germany), July 11,1997, “Monomialization and factorization of generically finite mor-phisms”.

(186) Algebre Commutative et Geometrie Algebrique, CIRM, Marseille- Luminy, May 5-9 1997, “Local factorization of n-dimensionalbirational maps”.

(187) Missouri Algebraic Geometry Conference, Columbia, April 15,1997, “Local factorization of n-dimensional birational maps”.

(188) Route 81 Conference, Syracuse, New York, Oct 26-27, 1996, CohenMacaulay coordinate rings of blowup schemes”.

(189) Special Session on Commutative Algebra, AMS meeting, Seat-tle, Washington, August 1996, “Local factorization of birationalmaps”.

(190) Algebraic Geometry Seminar, Washington University, July 1996(4 hours), “Local factorization of birational maps”.

(191) Seminar Talk, Universitat Essen (Germany), May 1996, “Nagata’sconjecture”.

(192) Kommutative Algebra and Algebraische Geometrie, Oberwolfach,Germany, May 5 - 11, 1996, “Local factorization of birationalmaps” (1 hour talk).

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(193) Special Session on Commutative Algebra and Algebraic Geome-try, AMS meeting, Orlando, Fl, Jan 1996, “Local Factorization ofbirational morphisms”.

(194) Algebraic Geometry Seminars, Purdue University, 3 talks, Nov.28 - 29, 1995, “Local Factorization of birational maps”.

(195) Colloquium Talk: Purdue University, Nov. 28, 1995, “Local Fac-torization of birational maps”.

(196) Colloquium Talk: Institute of Mathematical Sciences, Madras,July 1995, “Symbolic Algebras of Monomial Curves”.

(197) Seminar Talk, Universitat Bochum (Germany), June 1995, “TheRiemann Roch Problem”.

(198) Uber Seminar, Universitat Essen (Germany), June, 1995, “Sym-bolic Algebras of Monomial Curves”.

(199) A Short Course on Complete Ideals, Universitat Essen (Germany),June 1995.

(200) Special Session on Homological Aspects of Commutative RingTheory, AMS meeting, Kent, Ohio, Nov. 1995, “Local Factor-ization of Birational morphisms”.

(201) Computational Aspects of Commutative Algebra and AlgebraicGeometry, Oberwolfach, Germany, May 21 - May 27, 1995 (HourTalk), “Local Factorization of Birational morphisms”.

(202) Special Session on Commutative Algebra, AMS Meeting, Orlando,Fl,March 1995, “Local Factorization of Birational morphisms”.

(203) Special Session on Rees Algebras and Related Topics, AMS Meet-ing, San Francisco, CA, Jan 1995, “Symbolic Algebras of Mono-mial curves”.

(204) Special Session on Algebraic Geometry, AMS Meeting, Norman,Oklahoma, October 1994, “Symbolic Algebras of Monomial curves”.

(205) Colloquium Talk: University of Missouri -St.Louis (UMSL), Sep-tember 13, 1994, “Purity of the branch locus and Lefschetz The-orems”.

(206) Commutative Algebra: A satellite conference to The Interna-tional congress of Mathematicians; Vechta, Germany, August 12-19, 1994, “Purity of the branch locus and Lefschetz Theorems”.

(207) Colloquium Talk: Institute of Mathematical Sciences, Madras,July 1994, “The Riemann Roch Problem”.

(208) Colloquium Talk: Indian Institute of Technology, Madras, July1994, “Purity of the branch locus and Lefschetz Theorems”.

(209) Colloquium Talk: Ramanujan Institute for Advanced Study inPure Mathematics, Madras, India, July 1994, “An intrinsic crite-rion for isomorphism of singularities”.

(210) A Short Course on ”Linear Systems and Riemann-Roch ” SPICScience Foundation, Madras, India, June-July 1994.

(211) Colloquium Lecture: SPIC Science Foundation, Madras, India,June 1994, “Symbolic Algebras of Monomial Curves”.

(212) Seminar Talk: Johns Hopkins University, March 1994, “The Rie-mann Roch Problem”.

(213) Seminar Talk: Rutgers University , November 1993, “Purity ofthe branch locus and Lefschetz Theorems”.

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(214) Seminar Talk: Northeastern University, October 1993, “Purity ofthe branch locus and Lefschetz Theorems”.

(215) Algebraic Geometry Seminar: Harvard University, October 1993,“The Riemann Roch Problem”.

(216) Special Session in Theory of Rings and Modules, AMS Meeting,Salt Lake City, Utah, April 1993, “Purity of the branch locus andLefschetz Theorems”.

(217) Colloquium Talk: University of Kansas, October 1992, “Purity ofthe branch locus and Lefschetz Theorems”.

(218) AMS-IMS-SIAM Joint Summer Research conference, Commuta-tive Algebra: Syzygies, Multiplicities and Birational Algebra, Mt.Holyoke,July 4-9, 1992, The Birational Algebra Seminar (half-hour talk)“Purity of the branch locus and Lefschetz Theorems”.

(219) AMS-IMS-SIAM Joint Summer Research conference, Commuta-tive Algebra: Syzygies, Multiplicities and Birational Algebra, Mt.Holyoke,July 4-9, 1992: (hour talk), “Complete Ideals”.

(220) Special Session in Commutative Algebra, AMS meeting, Spring-field, Missouri, March 1992, “An intrinsic criterion for isomor-phism of singularites”.

(221) Special Session in Commutative Algebra, AMS meeting, Fargo,ND, October 1991, “The Riemann Roch Problem”.

(222) Colloquium Talk: University of Kansas, September 1991, “TheRiemann Roch Problem”.

(223) Special Session in Commutative Algebra, AMS Orono Mathfest,Maine, August 1991, “The Riemann Roch Problem”.

(224) Mid West-Great Plains Workshop in Commutative Algebra, Columbia,Missouri, June 1991, “On unique and almost unique factorizationof complete ideals”.

(225) Colloquium Talk: Institute of Mathematical Sciences, Madras,India, March 1991, “On unique and almost unique factorizationof complete ideals”

(226) Colloquium Talk: SPIC Science Foundation, Madras, India, March1991, “An intrinsic criterion for isomorphism of singularities”.

(227) Colloquium Talk: Tata Institute of Fundamental Research, India,February 1991, “An intrinsic criterion for isomorphism of singu-larities”.

(228) Colloquium Talk: Washington University, St.Louis, December 1990,“An intrinsic criterion for isomorphism of singularities”.

(229) Special Session in Algebraic Geometry, AMS meeting in Louiville,Kentucky, January 1990, “An intrinsic Criterion for isomorphismof singularities”.

(230) Seminar Talk: Purdue University, May 1989, “An intrinsic crite-rion for isomorphism of singularites”.

(231) Seminar Talk: Purdue University, November 1988, “On Fano 3folds”.

(232) Seminar Talk: University of Utah, April 1988, “Unique and semi-unique factorization of complete ideals”.

(233) Seminar Talk: Michigan State University, April 1988, “Uniqueand semi-unique factorization of complete ideals”.

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(234) Special session in Commutative Algebra, American Mathemati-cal, Society (AMS) meeting, Knoxville, Tennessee, March 1988,“Unique and semi-unique factorization of complete ideals”.

(235) Colloquium Talk: Louisiana State University, March 1988, “Uniqueand semi-unique factorization of complete ideals”.

(236) Colloquium Talk: Oklahoma State University, March 1988, “Uniqueand semi-unique factorization of complete ideals”.

(237) Seminar Talk: Purdue University, February 1988, “Unique andsemi-unique factorization of complete ideals”.

(238) Colloquium Talk: University of Missouri, February 1988, “Uniqueand semi-unique factorization of complete ideals”.

(239) Colloquium Talk: University of Notre Dame February 1988, “Uniqueand semi-unique factorization of complete ideals”.

(240) Seminar Talk: University of Pennsylvania, February 1988, “Uniqueand semi-unique factorization of complete ideals”.

(241) Algebraic Geometry Seminar, Columbia University, 1987, “Onunique and almost unique factorization of complete ideals”.

(242) Three Folds Conference, Columbia University, 1987, “Finite Gen-eration of Symbolic Algebras”.

(243) Colloquium Talk: Setton Hall University, NJ, 1987, “CompleteIdeals”.

(244) Seminar Talk: Michigan State University, January 1987, “Sym-bolic Algebras”.

(245) Algebraic Geometry Seminar: Columbia University, New York,October 1986, “Counterexamples to a Conjecture of Fujita”.

(246) Algebraic Geometry Seminar: Columbia University, New York,April 1985, “Zariski Decomposition”.

(247) Colloquium Talk: Suffolk University, Boston, Mass. April 1985,“Zariski Decomposition”.

(248) Colloquium Talk: Wellesley College, Wellesley, Ma., March 1985,“Zariski Decomposition”.

(249) Colloquium Talk: University of Notre Dame, Indiana, March 1985,“Zariski Decomposition”.