Mathematics People, Volume 51, Number 6
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Lecture Notes in Mathematics
Lecture Notes in Mathematics For information about Vols. 1-1145 please contact your bookseller Vol. 1173: H. DeHs, M. Knebusch, Locally Semialgebraic Spaces. XVI, or Springer-Verlag. 329 pages. 1g95, Vol. 1146: 5eminaire d'Aigebre Paul Dubreil et Marie-Paula Malliavin. Vol. 1174: Categories in Continuum Physics, Buffalo 1982. Seminar. Proceedings, 1g63-1984. Edite par M.-P. Malliavin. IV, 420 pages. Edited by F.W. Lawvere and S.H. Schanuel. V, t26 pages. t986. 1985. Vol. 1175: K. Mathiak, Valuations of Skew Fields and Projective Vol. 1147: M. Wschebor, Surfaces Aleatoires. VII, 11t pages. 1985. Hjelmslev Spaces. VII, 116 pages. 1986. Vol. 1t48: Mark A. Kon, Probability Distributions in Quantum Statistical Vol. 1176: R.R. Bruner, J.P. May, J.E. McClure, M. Steinberger, Mechanics. V, 12t pages. 1985. Hoo Ring Spectra and their Applications. VII, 388 pages. 1988. Vol. 1149: Universal Algebra and Lattice Theory. Proceedings, 1984. Vol. 1t77: Representation Theory I. Finite Dimensional Algebras. Edited by S. D. Comer. VI, 282 pages. 1985. Proceedings, t984. Edited by V. Dlab, P. Gabriel and G. Michler. XV, 340 pages. 1g86. Vol. 1150: B. Kawohl, Rearrangements and Convexity of Level Sets in Vol. 1178: Representation Theory II. Groups and Orders. Proceed PDE. V, 136 pages. 1985. ings, 1984. Edited by V. Dlab, P. Gabriel and G. Michler. XV, 370 Vol 1151: Ordinary and Partial Differential Equations. Proceedings, pages. 1986. 1984. Edited by B.D. Sleeman and R.J. Jarvis. XIV, 357 pages. 1985. Vol. 1179: Shi J .-Y. The Kazhdan-Lusztig Cells in Certain Affine Weyl Vol. 1152: H. Widom, Asymptotic Expansions for Pseudodifferential Groups. -
Curriculum Vitae
MARK JOSEPH BEHRENS Curriculum Vitae Department of Mathematics University of Notre Dame Notre Dame, IN 46556 [email protected] Degrees: Ph.D., Mathematics, University of Chicago, 2003, Thesis Advisor: J. P. May M.A., Mathematics, University of Alabama at Tuscaloosa, 1998 B.S., Mathematics, University of Alabama at Tuscaloosa, 1998 B.S., Physics, University of Alabama at Tuscaloosa, 1998 Employment: CLE Moore Instructor, Department of Mathematics, MIT, Supervisor: M. J. Hopkins, 2003-2005 Assistant Professor, Department of Mathematics, MIT, 2005-2011 Visiting Scholar, Department of Mathematics, Harvard University, 2007-2008 Associate Professor, Department of Mathematics, MIT, 2011-2014 Professor, Department of Mathematics, Notre Dame, 2014-present Honors: Scholar, Barry M. Goldwater Scholarship and Excellence in Education Program, 1995 Postdoctoral Fellow, NSF, 2003 Fellow, Sloan Foundation, 2007 Invited Address, 1044th meeting American Mathematical Society, 2008 CAREER grant, NSF, 2011 Cecil and Ida B. Green Career Development Associate Professorship, 2011-2014 MIT School of Science Teaching Prize for Graduate Education, 2011 John and Margaret McAndrews Professorship, 2014 Undergraduate research projects supervised at MIT: Sauter, Trace, summer 2009 Lerner, Ben, spring 2010 Tynan, Phillip, summer 2010 Li, Yan, summer 2010 Atsaves, Louis, spring, summer 2011 Hahn, Jeremy, summer, fall 2011, spring 2012 Wear, Peter, spring 2012 Velcheva, Katerina, fall 2012, spring 2013 Tseng, Dennis, spring, summer 2013 Kraft, Benjamin, summer 2013 Tran, -
Dusa Mcduff, Grigory Mikhalkin, Leonid Polterovich, and Catharina Stroppel, Were Funded by MSRI‟S Eisenbud Endowment and by a Grant from the Simons Foundation
Final Report, 2005–2010 and Annual Progress Report, 2009–2010 on the Mathematical Sciences Research Institute activities supported by NSF DMS grant #0441170 October, 2011 Mathematical Sciences Research Institute Final Report, 2005–2010 and Annual Progress Report, 2009–2010 Preface Brief summary of 2005–2010 activities……………………………………….………………..i 1. Overview of Activities ............................................................................................................... 3 1.1 New Developments ............................................................................................................. 3 1.2 Summary of Demographic Data for 2009-10 Activities ..................................................... 7 1.3 Scientific Programs and their Associated Workshops ........................................................ 9 1.4 Postdoctoral Program supported by the NSF supplemental grant DMS-0936277 ........... 19 1.5 Scientific Activities Directed at Underrepresented Groups in Mathematics ..................... 21 1.6 Summer Graduate Schools (Summer 2009) ..................................................................... 22 1.7 Other Scientific Workshops .............................................................................................. 25 1.8 Educational & Outreach Activities ................................................................................... 26 a. Summer Inst. for the Pro. Dev. of Middle School Teachers on Pre-Algebra ....... 26 b. Bay Area Circle for Teachers .............................................................................. -
A Simple Homotopy-Theoretical Proof of the Sullivan Conjecture 3
A SIMPLE HOMOTOPY-THEORETICAL PROOF OF THE SULLIVAN CONJECTURE JEFFREY STROM Abstract. We give a new proof, using comparatively simple tech- niques, of the Sullivan conjecture: map∗(BZ/p, K) ∼ ∗ for every finite- dimensional CW complex K. Introduction Haynes Miller proved the Sullivan conjecture in [15]. Another proof can be deduced from the extension due to Lannes [10], whose proof depends on the insights into unstable modules and algebras afforded by the T functor. There are three main problems with these proofs: they are very complicated; the content is almost entirely encoded in pure algebra; and it is difficult to tease out the fundamental properties of BZ/p that make the proofs work. Our purpose in this paper is to offer a new proof avoiding these com- plaints. The Sullivan conjecture is an easy consequence of the following main theorem. Theorem 1. Let X be a CW complex of finite type, and assume that ∗ Z 1 H (X; [ p ]) = 0. Then each of the following conditions implies the next. e ∗ ∗ (1) H (X; Fp) is a reduced unstable Ap-module and H (X; Fp) ⊗ J(n) is ane injective unstable Ap-module for all n ≥ 0. e s 2m+1F ∗ s+t (2) ExtU (Σ p, H (Σ X)) = 0 for every s,t ≥ 0 and all m ≥ 0. 2m+1 (3) map∗(X,S )e∼ ∗ for all sufficiently large m. (4) map∗(X, K) ∼ ∗ for all simply-connected finite complexes K. (5) map (X, ∞ Sni ) ∼ ∗ for any countable set {n } with each n > 1. arXiv:1105.3951v1 [math.AT] 19 May 2011 i i ∗ Wi=1 (6) map∗(X, K) ∼ ∗ for all simply-connected finite-dimensional CW complexes K. -
Operads, Modules and Higher Hochschild Cohomology Geoffroy
Operads, modules and higher Hochschild cohomology by Geoffroy Horel M.Sc., Icole Polytechnique (2009) Submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of FTI TECHNLOTY Doctor of Philosophy at the 2 5RERQC MASSACHUSETTS INSTITUTE OF TECHNOLOGY June 2013 @ Massachusetts Institute of Technology 2013. All rights reserved. A u th o r ....................................................... ..... ..... .. Depar et of Mathematics May 3, 2013 Certified by.................................. ............................. ... Haynes R. Miller Professor of Mathematics Thesis Supervisor A ccep ted b y ....................................................................... Paul Seidel Chairman, Department Committee on Graduate Theses 2 Operads, modules and higher Hochschild cohomology by Geoffroy Horel Submitted to the Department of Mathematics on May 3, 2013, in partial fulfillment of the requirements for the degree of Doctor of Philosophy Abstract In this thesis, we describe a general theory of modules over an algebra over an operad. We also study functors between categories of modules. Specializing to the operad Ed of little d-dimensional disks, we show that each (d - 1) manifold gives rise to a theory of modules over Ed-algebras and each bordism gives rise to a functor from the category defined by its incoming boundary to the category defined by its outgoing boundary. Then, we describe a geometric construction of the homomorphisms objects in these categories of modules inspired by factorization homology (also called chiral homology). A particular case of this construction is higher Hochschild cohomology or Hochschild cohomology of Ed-algebras. We compute the higher Hochschild cohomology of the Lubin-Tate ring spectrum and prove a generalization of a theorem of Kontsevich and Soibelman about the action of higher Hochschild cohomology on factorization homology. -
2007-08Nsfannualreportweb.Pdf
Mathematical Sciences Research Institute Annual Report for 2007-2008 1. Overview of Activities...........................................................................................................3 1.1 New Developments ......................................................................................................3 1.2 Major Programs & Associated Workshops...................................................................8 1.3 Scientific Activities Directed at Underrepresented Groups in Mathematics..............18 1.4 Other Scientific Activities...........................................................................................19 1.5 Program Highlights ....................................................................................................21 1.6 Programs Consultant List ...........................................................................................27 1.7 MSRI Experiences ......................................................................................................28 ♦ Organizers .............................................................................................................. ♦ Postdoctoral Fellows .............................................................................................. 2. Program and Workshop Participation ...........................................................................38 2.1 Program Participant List .............................................................................................38 2.2 Program Participant Summary....................................................................................45 -
The Bridge V46n3
Fall 2016 OPEN EDUCATIONAL RESOURCES The BRIDGE LINKING ENGINEERING AND SOCIETY MIT OpenCourseWare: How It Began Shigeru Miyagawa MIT OpenCourseWare: A Leader in Open Education Cecilia d’Oliveira and Jeffrey S. Lazarus edX: Open Education in the 21st Century Nina B. Huntemann Engineering the Science of Learning: Developing a Continuous Research Infrastructure for MOOCs to Catalyze Learning Research Justin Reich Crosslinks: Improving Course Connectivity Using Online Open Educational Resources Haynes R. Miller, Karen E. Willcox, and Luwen Huang Open Educational Resources: Nearing an Inflection Point for Adoption? Rebecca J. Griffiths and Nancy L. Maron The mission of the National Academy of Engineering is to advance the well-being of the nation by promoting a vibrant engineering profession and by marshalling the expertise and insights of eminent engineers to provide independent advice to the federal government on matters involving engineering and technology. The BRIDGE NATIONAL ACADEMY OF ENGINEERING Gordon R. England, Chair C. D. Mote, Jr., President Corale L. Brierley, Vice President Julia M. Phillips, Home Secretary Ruth A. David, Foreign Secretary Martin B. Sherwin, Treasurer Editor in Chief: Ronald M. Latanision Managing Editor: Cameron H. Fletcher Production Assistant: Penelope Gibbs The Bridge (ISSN 0737-6278) is published quarterly by the National Aca d emy of Engineering, 2101 Constitution Avenue NW, Washington, DC 20418. Periodicals postage paid at Washington, DC. Vol. 46, No. 3, Fall 2016 Postmaster: Send address changes to The Bridge, 2101 Constitution Avenue NW, Washington, DC 20418. Papers are presented in The Bridge on the basis of general interest and time- liness. They reflect the views of the authors and not necessarily the position of the National Academy of Engineering.