2015 Class of the Fellows of the AMS
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Front Matter
Cambridge University Press 978-1-107-64755-8 - London Mathematical Society Lecture Note Series: 417: Recent Advances in Algebraic Geometry: A Volume in Honor of Rob Lazarsfeld’s 60th Birthday Edited by Christopher D. Hacon, Mircea Mustata¸˘ and Mihnea Popa Frontmatter More information LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES Managing Editor: Professor M. Reid, Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom The titles below are available from booksellers, or from Cambridge University Press at http://www.cambridge.org/mathematics 287 Topics on Riemann surfaces and Fuchsian groups, E. BUJALANCE, A.F. COSTA & E. MARTÍNEZ (eds) 288 Surveys in combinatorics, 2001, J.W.P. HIRSCHFELD (ed) 289 Aspects of Sobolev-type inequalities, L. SALOFF-COSTE 290 Quantum groups and Lie theory, A. PRESSLEY (ed) 291 Tits buildings and the model theory of groups, K. TENT (ed) 292 A quantum groups primer, S. MAJID 293 Second order partial differential equations in Hilbert spaces, G. DA PRATO & J. ZABCZYK 294 Introduction to operator space theory, G. PISIER 295 Geometry and integrability, L. MASON & Y. NUTKU (eds) 296 Lectures on invariant theory, I. DOLGACHEV 297 The homotopy category of simply connected 4-manifolds, H.-J. BAUES 298 Higher operads, higher categories, T. LEINSTER (ed) 299 Kleinian groups and hyperbolic 3-manifolds, Y. KOMORI, V. MARKOVIC & C. SERIES (eds) 300 Introduction to Möbius differential geometry, U. HERTRICH-JEROMIN 301 Stable modules and the D(2)-problem, F.E.A. JOHNSON 302 Discrete and continuous nonlinear Schrödinger systems, M.J. ABLOWITZ, B. PRINARI & A.D. TRUBATCH 303 Number theory and algebraic geometry, M. -
Mathematics People, Volume 52, Number 6
Mathematics People Fourier-Mukai transform. He is also working on under- 2005–2006 AMS Centennial standing the structure of cones of divisors on smooth Fellowships Awarded projective varieties by analyzing asymptotic invariants as- sociated to base loci of linear series. He plans to use his The AMS has awarded two Centennial Fellowships for Centennial Fellowship at the University of Michigan and 2005–2006. The recipients are YUAN-PIN LEE of the Univer- the University of Rome, as well as at the University of sity of Utah and MIHNEA POPA of Harvard University. The Chicago. amount of each fellowship is $62,000. The Centennial Please note: Information about the competition for the 2006–2007 AMS Centennial Fellowships will be published in the “Mathematics Opportunities” section of an upcom- ing issue of the Notices. —Allyn Jackson Cerf and Kahn Receive Turing Award The Association for Computing Machinery (ACM) has named VINTON G. CERF and ROBERT E. KAHN the winners of the 2004 A. M. Turing Award, considered the “Nobel Prize of Computing”, for pioneering work on the design and Yuan-Pin Lee Mihnea Popa implementation of the Internet’s basic communications protocols. Cerf is the senior vice president for technology Fellows also receive an expense allowance of $3,000 and strategy at MCI. Kahn is chairman, chief executive officer, a complimentary Society membership for one year. and president of the Corporation for National Research Initiatives (CNRI), a not-for-profit organization for research Yuan-Pin Lee in the public interest on strategic development of Yuan-Pin Lee received his Ph.D. in 1999 from the University network-based information technologies. -
Computations in Algebraic Geometry with Macaulay 2
Computations in algebraic geometry with Macaulay 2 Editors: D. Eisenbud, D. Grayson, M. Stillman, and B. Sturmfels Preface Systems of polynomial equations arise throughout mathematics, science, and engineering. Algebraic geometry provides powerful theoretical techniques for studying the qualitative and quantitative features of their solution sets. Re- cently developed algorithms have made theoretical aspects of the subject accessible to a broad range of mathematicians and scientists. The algorith- mic approach to the subject has two principal aims: developing new tools for research within mathematics, and providing new tools for modeling and solv- ing problems that arise in the sciences and engineering. A healthy synergy emerges, as new theorems yield new algorithms and emerging applications lead to new theoretical questions. This book presents algorithmic tools for algebraic geometry and experi- mental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out. Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications. The reader of this book will encounter Macaulay 2 in the context of concrete applications and practical computations in algebraic geometry. The expositions of the algorithmic tools presented here are designed to serve as a useful guide for those wishing to bring such tools to bear on their own problems. A wide range of mathematical scientists should find these expositions valuable. This includes both the users of other programs similar to Macaulay 2 (for example, Singular and CoCoA) and those who are not interested in explicit machine computations at all. -
Algebraic Geometry Is One of the Most Diverse Fields of Research In
Excerpt Index Cambridge University Press 978-1-107-45946-5- Current Developments in Algebraic Geometry Edited by Lucia Caporaso, James McKernan, Mircea Mustață and Mihnea Popa Frontmatter More information Algebraic geometry is one of the most diverse fields of research in mathematics. It has had an incredible evolution over the past century, with new subfields constantly branching off and spectacular progress in certain directions and, at the same time, with many fundamental unsolved problems still to be tackled. In the spring of 2009 the first main workshop of the MSRI algebraic ge- ometry program served as an introductory panorama of current progress in the field, addressed to both beginners and experts. This volume reflects that spirit, offering expository overviews of the state of the art in many areas of algebraic geometry. Prerequisites are kept to a minimum, making the book accessible to a broad range of mathematicians. Many chapters present approaches to long-standing open problems by means of modern techniques currently under development and contain questions and conjectures to help spur future research. © in this web service Cambridge University Press www.cambridge.org Excerpt Index Cambridge University Press 978-1-107-45946-5- Current Developments in Algebraic Geometry Edited by Lucia Caporaso, James McKernan, Mircea Mustață and Mihnea Popa Frontmatter More information © in this web service Cambridge University Press www.cambridge.org Excerpt Index Cambridge University Press 978-1-107-45946-5- Current Developments in Algebraic Geometry -
Arxiv:1807.02375V2 [Math.AG]
D-MODULES IN BIRATIONAL GEOMETRY MIHNEA POPA Abstract. It is well known that numerical quantities arising from the theory of D-modules are related to invariants of singularities in birational geometry. This paper surveys a deeper relationship between the two areas, where the numerical connections are enhanced to sheaf theoretic constructions facilitated by the theory of mixed Hodge modules. The emphasis is placed on the recent theory of Hodge ideals. 1. Introduction. Ad hoc arguments based on differentiating rational functions or sections of line bundles abound in complex and birational geometry. To pick just a couple of examples, topics where such arguments have made a deep impact are the study of adjoint linear series on smooth projective varieties, see for instance Demailly’s work on effective very ampleness [Dem93] and its more algebraic incarnation in [ELN96], and the study of hyperbolicity, see for instance Siu’s survey [Siu04] and the references therein. A systematic approach, as well as an enlargement of the class of objects to which differ- entiation techniques apply, is provided by the theory of D-modules, which has however only recently begun to have a stronger impact in birational geometry. The new developments are mainly due to a better understanding of Morihiko Saito’s theory of mixed Hodge modules [Sai88], [Sai90], and hence to deeper connections with Hodge theory and coherent sheaf theory. Placing problems in this context automatically brings in important tools such as vanishing theorems, perverse sheaves, or the V -filtration, in a unified way. Connections between invariants arising from log resolutions of singularities and invariants arising from the theory of D-modules go back a while however. -
Table of Contents
Irena Lasiecka, Distinguished University Professor Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152-3370 ] Table of Contents I Education and Degrees . 2 II Employment ..................................................................................................2 III Honors and Awards . .3 IV Research Interests . 5 V Grants .......................................................................................................6 V(a) Research grants . 6 V(b) Conference grants . 7 V Ph.D. Theses Directed . 7 VII Postdoctoral Fellows . 9 VIII Publications . 10 VIII(a) Books. Research monographs . 10 VIII(b) Books edited . 11 VIII(c) Invited review papers . 12 VIII(d) Refereed journal articles . 12 VIII(e) Refereed proceedings papers . 30 IX Professional Activities . 35 IX(a) Editorships . .35 IX(b) Offices and functions held . 36 IX(c) Service to National Science Foundation and CBMS-NSF-SIAM . 37 IX(d) International scientific program committees (IPC) . 37 IX(e) Organizer of special sessions/minisymposia/conferences . 41 IX(f) Service to UVa (major committees; samples since 2000) . 45 X Invited Presentations (1985{present) . 45 X(a) Plenary speaker (keynote lecturer) at conferences .............................................................................................................45 X(b) Invited conference speaker . 49 X(c) Colloquium talks . 62 1 Irena Lasiecka, Distinguished University Professor Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152-3370 ] I EDUCATION AND DEGREES -
Math Matters
MATH MATTERS CORNELL UNIVERSITY JANUARY 2020 Letter From The Chair Ravi Ramakrishna ’88 s is the case every year, our beginning of their first year with Department (along with all others studentsA and faculty are participat- their advisor, in the College) recently reclassi- ing a rich tapestry of mathematical and then as fied all its courses under the new events and scholarship. From needed. This system, with two falling under running conferences and summer often meant the Statistics and Data Science schools to supervising undergradu- never. The new (SDS) heading and the rest under ate research to (of course) proving model has a the Symbolic and Mathematical wonderful theorems, Cornell math- group of 10 first Reasoning (SMR) heading. We are ematicians at all levels are doing semester stu- curious to see how the new clas- great things. dents meeting sifications and requirements will Ravi Ramakrishna As you will read throughout with their advisor affect our enrollments, especially this issue of Math Matters, they once a week for 9 weeks. The at the first-year and sophomore are also being recognized for their intent is to orient students to the levels. outstanding accomplishments. College and break down the barri- Speaking of enrollments, we Our faculty have in the last year ers between faculty and students. will this year graduate about 95 won two College-wide teaching 2019 was the first year where the math majors. We now have the awards, three National Science seminar served all incoming A&S fifth most majors in the College. Foundation CAREER awards, a students and seven Math faculty Our enrollments at junior and Sloan Fellowship, two Simons participated. -
Meetings & Conferences of The
Meetings & Conferences of the AMS IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on the AMS website. See http://www.ams.org/meetings/. Final programs for Sectional Meetings will be archived on the AMS website accessible from the stated URL and in an electronic issue of the Notices as noted below for each meeting. Mihnea Popa, University of Illinois at Chicago, Vanish- Alba Iulia, Romania ing theorems and holomorphic one-forms. Dan Timotin, Institute of Mathematics of the Romanian University of Alba Iulia Academy, Horn inequalities: Finite and infinite dimensions. June 27–30, 2013 Special Sessions Thursday – Sunday Algebraic Geometry, Marian Aprodu, Institute of Meeting #1091 Mathematics of the Romanian Academy, Mircea Mustata, University of Michigan, Ann Arbor, and Mihnea Popa, First Joint International Meeting of the AMS and the Ro- University of Illinois, Chicago. manian Mathematical Society, in partnership with the “Simion Stoilow” Institute of Mathematics of the Romanian Articulated Systems: Combinatorics, Geometry and Academy. Kinematics, Ciprian S. Borcea, Rider University, and Ileana Associate secretary: Steven H. Weintraub Streinu, Smith College. Announcement issue of Notices: January 2013 Calculus of Variations and Partial Differential Equations, Program first available on AMS website: Not applicable Marian Bocea, Loyola University, Chicago, Liviu Ignat, Program issue of electronic Notices: Not applicable Institute of Mathematics of the Romanian Academy, Mihai Issue of Abstracts: Not applicable Mihailescu, University of Craiova, and Daniel Onofrei, University of Houston. -
NEW TRENDS in SYZYGIES: 18W5133
NEW TRENDS IN SYZYGIES: 18w5133 Giulio Caviglia (Purdue University, Jason McCullough (Iowa State University) June 24, 2018 – June 29, 2018 1 Overview of the Field Since the pioneering work of David Hilbert in the 1890s, syzygies have been a central area of research in commutative algebra. The idea is to approximate arbitrary modules by free modules. Let R be a Noetherian, commutative ring and let M be a finitely generated R-module. A free resolution is an exact sequence of free ∼ R-modules ···! Fi+1 ! Fi !··· F0 such that H0(F•) = M. Elements of Fi are called ith syzygies of M. When R is local or graded, we can choose a minimal free resolution of M, meaning that a basis for Fi is mapped onto a minimal set of generators of Ker(Fi−1 ! Fi−2). In this case, we get uniqueness of minimal free resolutions up to isomorphism of complexes. Therefore, invariants defined by minimal free resolutions yield invariants of the module being resolved. In most cases, minimal resolutions are infinite, but over regular rings, like polynomial and power series rings, all finitely generated modules have finite minimal free resolutions. Beyond the study of invariants of modules, syzygies have connections to algebraic geometry, algebraic topology, and combinatorics. Statements like the Total Rank Conjecture connect algebraic topology with free resolutions. Bounds on Castelnuovo-Mumford regularity and projective dimension, as with the Eisenbud- Goto Conjecture and Stillman’s Conjecture, have implications for the computational complexity of Grobner¨ bases and computational algebra systems. Green’s Conjecture provides a link between graded free resolutions and the geometry of canonical curves. -
Revised August 2014 DAVID EISENBUD VITA Born April 8, 1947
Revised August 2014 DAVID EISENBUD VITA Born April 8, 1947, New York City US Citizen Married, with two children EDUCATION B. S. University of Chicago 1966 M. S. University of Chicago 1967 Ph. D. University of Chicago 1970 Advisors: Saunders MacLane, J. C. Robson Thesis: Torsion Modules over Dedekind Prime Rings POSITIONS HELD Lecturer, Brandeis University 1970{72 Assistant Professor, Brandeis University 1972{73 Sloan Foundation Fellow 1973{75 Visiting scholar, Harvard University 1973{74 Fellow, I. H. E. S. (Bures-Sur-Yvette) 1974{75 Associate Professor, Brandeis University 1976{80 Visiting Researcher, University of Bonn (SFB 40) 1979{80 Professor, Brandeis University 1980{1998 Research Professor, Mathematical Sciences Research Institute, Berkeley 1986{87 Visiting Professor, Harvard University 1987{88 and Fall 1994 Chercheur Associ´e`al'Institut Henri Poincar´e(CNRS), Paris, Spring 1995. Professor, University of California at Berkeley, 1997{ Director, Mathematical Sciences Research Institute, 1997{ 2007 Director for Mathematics and the Physical Sciences, Simons Foundation, 2010{2012 HONORS, PRIZES Elected Fellow of the American Academy of Arts and Sciences, 2006 Leroy P. Steele Prize for Exposition, American Mathematical Society, 2010 CURRENT RESEARCH INTERESTS Algebraic Geometry Commutative Algebra Computational Methods 1 OTHER LONG-TERM MATHEMATICAL INTERESTS • Noncommutative Rings • Singularity Theory • Knot Theory and Topology 2 Professional Activities American Mathematical Society Council 1978{1982 (as member of the editorial board -
Download a PDF of the Program
Department of Mathematics 2021 Awards Tonight’s Program Welcome + Opening Remarks Professor Jeremy Tyson Chair, Department of Mathematics Land-Grant Statement + College of LAS Remarks Professor Matt Ando Associate Dean for Life and Physical Sciences, College of LAS Alumni Award Recognition + Remarks Steven Armstrong (BS ’92) 2020 Actuarial Science Program Alumnus of the Year Undergraduate Awards Professor Randy McCarthy Director of Undergraduate Studies Alumni Award Recognition + Remarks Danyel Graves Larsen (BA ’04) 2021 Alumni Humanitarian Award Illinois Geometry Lab Awards Professor Philipp Hieronymi Director of Illinois Geometry Lab Graduate Awards Professor Lee DeVille Director of Graduate Studies Alumni Award Recognition + Remarks Michael Stillman (BA ’78) 2021 Outstanding Achievement Award Faculty + Staff Awards Professor Jeremy Tyson Alumni Award Recognition + Remarks Judy Leavitt Walker (MS ’92, Ph.D. ’96) 2021 Outstanding Achievement Award Closing Remarks Professor Jeremy Tyson Undergraduate Awards H. Roy Brahana Prize Salma Wanna Memorial Award The H. Roy Brahana Prize is named for a distinguished The Salma Wanna Memorial Award honors the member of our mathematics faculty and recognizes memory of Salma Wanna, who received her PhD the student with “the most exceptional undergraduate from the University of Illinois in 1976. It is given for mathematics career.” “exceptional performance in mathematics to the Presented with honor to David Brewster, a senior most outstanding continuing student.” mathematics major. Presented with honor to Ariel Lerman, a sophomore mathematics major. Ariel received the Elsie Thomas Most Outstanding Major Awards Fraser Award in 2020 and was recently named a Barry In 1996, the department established the Major Awards M. Goldwater Scholar. He enjoys playing the cello, to recognize the most outstanding undergraduate creative writing and gaming. -
Eliminating Flutter for Clamped Von Karman Plates Immersed in Subsonic Flows
Eliminating flutter for clamped von Karman plates immersed in subsonic flows Lasiecka, I., & Webster, J. (2014). Eliminating flutter for clamped von Karman plates immersed in subsonic flows. Communications on Pure and Applied Analysis, 13(5), 1935-1969. doi:10.3934/cpaa.2014.13.1935 10.3934/cpaa.2014.13.1935 American Institute of Mathematical Sciences Version of Record http://cdss.library.oregonstate.edu/sa-termsofuse COMMUNICATIONS ON doi:10.3934/cpaa.2014.13.1935 PURE AND APPLIED ANALYSIS Volume 13, Number 5, September 2014 pp. 1935{1969 ELIMINATING FLUTTER FOR CLAMPED VON KARMAN PLATES IMMERSED IN SUBSONIC FLOWS Irena Lasiecka University of Memphis, Department of Mathematical Sciences 373 Dunn Hall, Memphis, TN 38152, USA Systems Research Institute, Polish Academy of Sciences Newelska 6, 01-447 Warsaw, Poland Justin Webster Oregon State University, Department of Mathematics 368 Kidder Hall, Corvallis, OR 97330, USA Abstract. We address the long-time behavior of a non-rotational von Kar- man plate in an inviscid potential flow. The model arises in aeroelasticity and models the interaction between a thin, nonlinear panel and a flow of gas in which it is immersed [6, 21, 23]. Recent results in [16, 18] show that the plate component of the dynamics (in the presence of a physical plate nonlinearity) converge to a global compact attracting set of finite dimension; these results were obtained in the absence of mechanical damping of any type. Here we show that, by incorporating mechanical damping the full flow-plate system, full trajectories|both plate and flow—converge strongly to (the set of) sta- tionary states.