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Curriculum Vitae Contents 1 Overview
KEITH DEVLIN, Ph.D., D.Sc., F.A.A.A.S., F.A.M.S. Curriculum Vitae Contents Page 1. Overview 1 2. Education 6 3. Career 6 4. Short-term visiting positions 7 5. Special guest lectures 8 6. Research papers delivered at universities 18 7. Published pedagogic articles 19 8. Pedagogy presentations given 21 9. Recent book reviews published 22 10. Books published 23 11. Research publications 25 1 Overview Present (regular, continuing) positions • Executive Director (and co-founder), H-STAR Institute, Stanford University (since 2008) • Senior Researcher, Center for the Study of Language and Information, Stanford University (since 2001) • Executive Committee member (and co-founder), Media X, Stanford University (since 2001) Previous (regular, continuing) positions • Consulting Professor of Mathematics, Stanford University, 2001{2009. • Dean of the School of Science, Saint Mary's College of California, Moraga, California, 1993{2001. • Visiting Professor, DUXX Graduate School of Business Leadership, Monterrey, Mexico, 1999{2001. • Consulting Professor (Research), School of Information Sciences, University of Pittsburgh, 1994{2000. • Carter Professor and Chair of the Department of Mathematics and Computer Science, Colby College, Maine, 1989{93. • Associate Professor (Visiting), Stanford University, California, 1987{89. • Reader in Mathematics, University of Lancaster, U.K., 1979{87. • Lecturer in Mathematics, University of Lancaster, U.K., 1977{79. • Assistant Professor of Mathematics, Bonn University, Germany 1974{76 1 Major fundraising and capital development activities • $45 million, private donor (industrial CEO), funding for a new science center at Saint Mary's College, confirmed in 1997, construction started in 1999, building completed in 2001. • $1.5 million, Fletcher Jones Foundation, funding for an endowed chair in biology at Saint Mary's College, awarded 1995. -
Arxiv:1701.01653V1 [Math.CV] 6 Jan 2017 32J25
Bimeromorphic geometry of K¨ahler threefolds Andreas H¨oring and Thomas Peternell Abstract. We describe the recently established minimal model program for (non-algebraic) K¨ahler threefolds as well as the abundance theorem for these spaces. 1. Introduction Given a complex projective manifold X, the Minimal Model Program (MMP) predicts that either X is covered by rational curves (X is uniruled) or X has a ′ - slightly singular - birational minimal model X whose canonical divisor KX′ is nef; and then the abundance conjecture says that some multiple mKX′ is spanned by global sections (so X′ is a good minimal model). The MMP also predicts how to achieve the birational model, namely by a sequence of divisorial contractions and flips. In dimension three, the MMP is completely established (cf. [Kwc92], [KM98] for surveys), in dimension four, the existence of minimal models is es- tablished ([BCHM10], [Fuj04], [Fuj05]), but abundance is wide open. In higher dimensions minimal models exists if X is of general type [BCHM10]; abundance not being an issue in this case. In this article we discuss the following natural Question 1.1. Does the MMP work for general (non-algebraic) compact K¨ahler manifolds? Although the basic methods used in minimal model theory all fail in the K¨ahler arXiv:1701.01653v1 [math.CV] 6 Jan 2017 case, there is no apparent reason why the MMP should not hold in the K¨ahler category. And in fact, in recent papers [HP16], [HP15] and [CHP16], the K¨ahler MMP was established in dimension three: Theorem 1.2. Let X be a normal Q-factorial compact K¨ahler threefold with terminal singularities. -
TWAS Fellowships Worldwide
CDC Round Table, ICTP April 2016 With science and engineering, countries can address challenges in agriculture, climate, health TWAS’s and energy. guiding principles 2 Food security Challenges Water quality for a Energy security new era Biodiversity loss Infectious diseases Climate change 3 A Globally, 81 nations fall troubling into the category of S&T- gap lagging countries. 48 are classified as Least Developed Countries. 4 The role of TWAS The day-to-day work of TWAS is focused in two critical areas: •Improving research infrastructure •Building a corps of PhD scholars 5 TWAS Research Grants 2,202 grants awarded to individuals and research groups (1986-2015) 6 TWAS’ AIM: to train 1000 PhD students by 2017 Training PhD-level scientists: •Researchers and university-level educators •Future leaders for science policy, business and international cooperation Rapidly growing opportunities P BRAZIL A K I N D I CA I RI A S AF TH T SOU A N M KENYA EX ICO C H I MALAYSIA N A IRAN THAILAND TWAS Fellowships Worldwide NRF, South Africa - newly on board 650+ fellowships per year PhD fellowships +460 Postdoctoral fellowships +150 Visiting researchers/professors + 45 17 Programme Partners BRAZIL: CNPq - National Council MALAYSIA: UPM – Universiti for Scientific and Technological Putra Malaysia WorldwideDevelopment CHINA: CAS - Chinese Academy of KENYA: icipe – International Sciences Centre for Insect Physiology and Ecology INDIA: CSIR - Council of Scientific MEXICO: CONACYT– National & Industrial Research Council on Science and Technology PAKISTAN: CEMB – National INDIA: DBT - Department of Centre of Excellence in Molecular Biotechnology Biology PAKISTAN: ICCBS – International Centre for Chemical and INDIA: IACS - Indian Association Biological Sciences for the Cultivation of Science PAKISTAN: CIIT – COMSATS Institute of Information INDIA: S.N. -
Mirror Symmetry for Honeycombs
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 373, Number 1, January 2020, Pages 71–107 https://doi.org/10.1090/tran/7909 Article electronically published on September 10, 2019 MIRROR SYMMETRY FOR HONEYCOMBS BENJAMIN GAMMAGE AND DAVID NADLER Abstract. We prove a homological mirror symmetry equivalence between the A-brane category of the pair of pants, computed as a wrapped microlocal sheaf category, and the B-brane category of its mirror LG model, understood as a category of matrix factorizations. The equivalence improves upon prior results in two ways: it intertwines evident affine Weyl group symmetries on both sides, and it exhibits the relation of wrapped microlocal sheaves along different types of Lagrangian skeleta for the same hypersurface. The equivalence proceeds through the construction of a combinatorial realization of the A-model via arboreal singularities. The constructions here represent the start of a program to generalize to higher dimensions many of the structures which have appeared in topological approaches to Fukaya categories of surfaces. Contents 1. Introduction 71 2. Combinatorial A-model 78 3. Mirror symmetry 95 4. Symplectic geometry 100 Acknowledgments 106 References 106 1. Introduction This paper fits into the framework of homological mirror symmetry, as introduced in [23] and expanded in [19, 20, 22]. The formulation of interest to us relates the A-model of a hypersurface X in a toric variety to the mirror Landau-Ginzburg B- model of a toric variety X∨ equipped with superpotential W ∨ ∈O(X∨). Following Mikhalkin [27], a distinguished “atomic” case is when the hypersurface is the pair of pants ∗ n ∼ ∗ 1 n Pn−1 = {z1 + ···+ zn +1=0}⊂(C ) = T (S ) n+1 with mirror Landau-Ginzburg model (A ,z1 ···zn+1). -
October 2013
LONDONLONDON MATHEMATICALMATHEMATICAL SOCIETYSOCIETY NEWSLETTER No. 429 October 2013 Society MeetingsSociety 2013 ELECTIONS voting the deadline for receipt of Meetings TO COUNCIL AND votes is 7 November 2013. and Events Members may like to note that and Events NOMINATING the LMS Election blog, moderated 2013 by the Scrutineers, can be found at: COMMITTEE http://discussions.lms.ac.uk/ Thursday 31 October The LMS 2013 elections will open on elections2013/. Good Practice Scheme 10th October 2013. LMS members Workshop, London will be contacted directly by the Future elections page 15 Electoral Reform Society (ERS), who Members are invited to make sug- Friday 15 November will send out the election material. gestions for nominees for future LMS Graduate Student In advance of this an email will be elections to Council. These should Meeting, London sent by the Society to all members be addressed to Dr Penny Davies 1 page 4 who are registered for electronic who is the Chair of the Nominat- communication informing them ing Committee (nominations@lms. Friday 15 November that they can expect to shortly re- ac.uk). Members may also make LMS AGM, London ceive some election correspondence direct nominations: details will be page 5 from the ERS. published in the April 2014 News- Monday 16 December Those not registered to receive letter or are available from Duncan SW & South Wales email correspondence will receive Turton at the LMS (duncan.turton@ Regional Meeting, all communications in paper for- lms.ac.uk). Swansea mat, both from the Society and 18-21 December from the ERS. Members should ANNUAL GENERAL LMS Prospects in check their post/email regularly in MEETING Mathematics, Durham October for communications re- page 11 garding the elections. -
Opening Ceremony
Opening ceremony Sir John Ball, President of the International Mathematical Union Your Majesty, Señor Ruiz Gallardón, Señora Cabrera, Señora Aguirre, Professor Manuel de León, Distinguished guests, Ladies and gentlemen, ¡Bienvenidos al ICM dos mil seis! Welcome to ICM 2006, the 25th International Congress of Mathematicians, and the first ICM to be held in Spain. We offer our heartfelt thanks to the Spanish nation, so rich in history and culture, for its invitation to Madrid. We greatly appreciate that His Majesty King Juan Carlos is honouring mathematics by His presence here today. While celebrating this feast of mathematics, with the many talking-points that it will provide, it is worth reflecting on the ways in which our community functions. Mathematics is a profession of high standards and integrity. We freely discuss our work with others without fear of it being stolen, and research is communicated openly prior to formal publication. Editorial procedures are fair and proper, and work gains its reputation through merit and not by how it is promoted. These are the norms operated by the vast majority of mathematicians. The exceptions are rare, and they are noticed. Mathematics has a strong record of service, freely given. We see this in the time and care spent in the refereeing of papers and other forms of peer review. We see it in the running of mathematical societies and journals, in the provision of free mathematical software and teaching resources, and in the various projects world-wide to improve electronic access to the mathematical literature, old and new. We see it in the nurturing of students beyond the call of duty. -
William M. Goldman June 24, 2021 CURRICULUM VITÆ
William M. Goldman June 24, 2021 CURRICULUM VITÆ Professional Preparation: Princeton Univ. A. B. 1977 Univ. Cal. Berkeley Ph.D. 1980 Univ. Colorado NSF Postdoc. 1980{1981 M.I.T. C.L.E. Moore Inst. 1981{1983 Appointments: I.C.E.R.M. Member Sep. 2019 M.S.R.I. Member Oct.{Dec. 2019 Brown Univ. Distinguished Visiting Prof. Sep.{Dec. 2017 M.S.R.I. Member Jan.{May 2015 Institute for Advanced Study Member Spring 2008 Princeton University Visitor Spring 2008 M.S.R.I. Member Nov.{Dec. 2007 Univ. Maryland Assoc. Chair for Grad. Studies 1995{1998 Univ. Maryland Professor 1990{present Oxford Univ. Visiting Professor Spring 1989 Univ. Maryland Assoc. Professor 1986{1990 M.I.T. Assoc. Professor 1986 M.S.R.I. Member 1983{1984 Univ. Maryland Visiting Asst. Professor Fall 1983 M.I.T. Asst. Professor 1983 { 1986 1 2 W. GOLDMAN Publications (1) (with D. Fried and M. Hirsch) Affine manifolds and solvable groups, Bull. Amer. Math. Soc. 3 (1980), 1045{1047. (2) (with M. Hirsch) Flat bundles with solvable holonomy, Proc. Amer. Math. Soc. 82 (1981), 491{494. (3) (with M. Hirsch) Flat bundles with solvable holonomy II: Ob- struction theory, Proc. Amer. Math. Soc. 83 (1981), 175{178. (4) Two examples of affine manifolds, Pac. J. Math.94 (1981), 327{ 330. (5) (with M. Hirsch) A generalization of Bieberbach's theorem, Inv. Math. , 65 (1981), 1{11. (6) (with D. Fried and M. Hirsch) Affine manifolds with nilpotent holonomy, Comm. Math. Helv. 56 (1981), 487{523. (7) Characteristic classes and representations of discrete subgroups of Lie groups, Bull. -
Program of the Sessions San Diego, California, January 9–12, 2013
Program of the Sessions San Diego, California, January 9–12, 2013 AMS Short Course on Random Matrices, Part Monday, January 7 I MAA Short Course on Conceptual Climate Models, Part I 9:00 AM –3:45PM Room 4, Upper Level, San Diego Convention Center 8:30 AM –5:30PM Room 5B, Upper Level, San Diego Convention Center Organizer: Van Vu,YaleUniversity Organizers: Esther Widiasih,University of Arizona 8:00AM Registration outside Room 5A, SDCC Mary Lou Zeeman,Bowdoin upper level. College 9:00AM Random Matrices: The Universality James Walsh, Oberlin (5) phenomenon for Wigner ensemble. College Preliminary report. 7:30AM Registration outside Room 5A, SDCC Terence Tao, University of California Los upper level. Angles 8:30AM Zero-dimensional energy balance models. 10:45AM Universality of random matrices and (1) Hans Kaper, Georgetown University (6) Dyson Brownian Motion. Preliminary 10:30AM Hands-on Session: Dynamics of energy report. (2) balance models, I. Laszlo Erdos, LMU, Munich Anna Barry*, Institute for Math and Its Applications, and Samantha 2:30PM Free probability and Random matrices. Oestreicher*, University of Minnesota (7) Preliminary report. Alice Guionnet, Massachusetts Institute 2:00PM One-dimensional energy balance models. of Technology (3) Hans Kaper, Georgetown University 4:00PM Hands-on Session: Dynamics of energy NSF-EHR Grant Proposal Writing Workshop (4) balance models, II. Anna Barry*, Institute for Math and Its Applications, and Samantha 3:00 PM –6:00PM Marina Ballroom Oestreicher*, University of Minnesota F, 3rd Floor, Marriott The time limit for each AMS contributed paper in the sessions meeting will be found in Volume 34, Issue 1 of Abstracts is ten minutes. -
Party Time for Mathematicians in Heidelberg
Mathematical Communities Marjorie Senechal, Editor eidelberg, one of Germany’s ancient places of Party Time HHlearning, is making a new bid for fame with the Heidelberg Laureate Forum (HLF). Each year, two hundred young researchers from all over the world—one for Mathematicians hundred mathematicians and one hundred computer scientists—are selected by application to attend the one- week event, which is usually held in September. The young in Heidelberg scientists attend lectures by preeminent scholars, all of whom are laureates of the Abel Prize (awarded by the OSMO PEKONEN Norwegian Academy of Science and Letters), the Fields Medal (awarded by the International Mathematical Union), the Nevanlinna Prize (awarded by the International Math- ematical Union and the University of Helsinki, Finland), or the Computing Prize and the Turing Prize (both awarded This column is a forum for discussion of mathematical by the Association for Computing Machinery). communities throughout the world, and through all In 2018, for instance, the following eminences appeared as lecturers at the sixth HLF, which I attended as a science time. Our definition of ‘‘mathematical community’’ is journalist: Sir Michael Atiyah and Gregory Margulis (both Abel laureates and Fields medalists); the Abel laureate the broadest: ‘‘schools’’ of mathematics, circles of Srinivasa S. R. Varadhan; the Fields medalists Caucher Bir- kar, Gerd Faltings, Alessio Figalli, Shigefumi Mori, Bào correspondence, mathematical societies, student Chaˆu Ngoˆ, Wendelin Werner, and Efim Zelmanov; Robert organizations, extracurricular educational activities Endre Tarjan and Leslie G. Valiant (who are both Nevan- linna and Turing laureates); the Nevanlinna laureate (math camps, math museums, math clubs), and more. -
Arxiv:1502.01692V2 [Math.DG]
LIMITING CONFIGURATIONS FOR SOLUTIONS OF HITCHIN’S EQUATION RAFE MAZZEO, JAN SWOBODA, HARTMUT WEISS, AND FREDERIK WITT Abstract. We review recent work on the compactification of the mod- uli space of Hitchin’s self-duality equation. We study the degeneration behavior near the ends of this moduli space in a set of generic directions by showing how limiting configurations can be desingularized. Following ideas of Hitchin, we can relate the top boundary stratum of this space of limiting configurations to a Prym variety. A key rˆole is played by the family of rotationally symmetric solutions to the self-duality equation on C, which we discuss in detail here. Contents 1. Introduction 1 2. Holomorphic bundles with Higgs fields 3 2.1. Stable bundles 3 2.2. Higgs bundles 5 2.3. Parabolic Higgs bundles 7 2.4. Spectral curves 8 3. Limiting configurations 9 3.1. Motivation 9 3.2. The fiducial solution 9 3.3. Construction of limiting configurations 13 4. Desingularization by gluing 16 5. The hyperk¨ahler metric 19 5.1. Moment maps 19 arXiv:1502.01692v2 [math.DG] 2 Jul 2015 5.2. The semi-flat metric 20 References 21 1. Introduction The moduli space of Higgs bundles, introduced by Hitchin [Hi87] and Simpson [Si88], is a well investigated object in algebraic geometry and topol- ogy. We wish here to study it from the viewpoint of Riemannian geometry. Hitchin showed that there exists a natural hyperk¨ahler metric on the smooth Date: July 17, 2021. RM supported by NSF Grant DMS-1105050, JS supported by DFG Grant Sw 161/1-1. -
Relative Quantum Field Theory 3
RELATIVE QUANTUM FIELD THEORY DANIEL S. FREED AND CONSTANTIN TELEMAN Abstract. We highlight the general notion of a relative quantum field theory, which occurs in several contexts. One is in gauge theory based on a compact Lie algebra, rather than a compact Lie group. This is relevant to the maximal superconformal theory in six dimensions. 1. Introduction The (0, 2)-superconformal field theory in six dimensions, which we term Theory X for brevity, was discovered as a limit of superstring theories [W1, S]. It is thought not to have a lagrangian description, so is difficult to access directly, yet some expectations can be deduced from the string theory description [W2, GMN]. Two features are particularly relevant: (i) it is not an ordinary quantum field theory, and (ii) the theory depends on a Lie algebra, not on a Lie group. A puzzle, emphasized by Greg Moore, is that the dimensional reduction of Theory X to five dimensions is usually understood to be an ordinary quantum field theory—contrary to (i)—and it is a supersym- metric gauge theory so depends on a particular choice of Lie group—contrary to (ii). In this paper we spell out the modified notion indicated in (i), which we call a relative quantum field theory, and use it to resolve this puzzle about Theory X by pointing out that the dimensional reduction is also a relative theory. Relative gauge theories are not particular to dimension five. In fact, the possibility of studying four-dimensional gauge theory as a relative theory was exploited in [VW] and [W3]. -
The Top Mathematics Award
Fields told me and which I later verified in Sweden, namely, that Nobel hated the mathematician Mittag- Leffler and that mathematics would not be one of the do- mains in which the Nobel prizes would The Top Mathematics be available." Award Whatever the reason, Nobel had lit- tle esteem for mathematics. He was Florin Diacuy a practical man who ignored basic re- search. He never understood its impor- tance and long term consequences. But Fields did, and he meant to do his best John Charles Fields to promote it. Fields was born in Hamilton, Ontario in 1863. At the age of 21, he graduated from the University of Toronto Fields Medal with a B.A. in mathematics. Three years later, he fin- ished his Ph.D. at Johns Hopkins University and was then There is no Nobel Prize for mathematics. Its top award, appointed professor at Allegheny College in Pennsylvania, the Fields Medal, bears the name of a Canadian. where he taught from 1889 to 1892. But soon his dream In 1896, the Swedish inventor Al- of pursuing research faded away. North America was not fred Nobel died rich and famous. His ready to fund novel ideas in science. Then, an opportunity will provided for the establishment of to leave for Europe arose. a prize fund. Starting in 1901 the For the next 10 years, Fields studied in Paris and Berlin annual interest was awarded yearly with some of the best mathematicians of his time. Af- for the most important contributions ter feeling accomplished, he returned home|his country to physics, chemistry, physiology or needed him.