2021 2008 • Teichmüller Theory and Low-Dimensional Topology, June
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If I Buy a HUNTING LICENSE* Permit (12 Months) for a Surface Lot Or Lots Without the Guarantee of a Space, What Would I Pay?
If I buy a HUNTING LICENSE* permit (12 If I buy a HUNTING LICENSE* permit (12 months) for a surface lot months) for a surface lot or lots without the or lots without the guarantee of a space, what would I pay? Enter guarantee of a space, N/A if not available. what would I pay? Enter University: N/A if not available. Harvard OHSU Bradley University $ 50.00 Portland State University Auburn University $ 80.00 UC Berkeley, Parking & Transportation Ball State University $ 83.00 University of Wisconsin - Milwaukee Univeristy of Alabama at Birmingham Gonzaga University $ 95.00 University of Delaware The University of Texas Rio Grande Valley $ 100.00 University of Regina Stephen F Austin $ 108.00 Cal Poly SLO NCCU WKU $ 110.00 George Mason University of Arkansas- Fort Smith $ 120.00 The Pennsylvania State University Northern Illinois University $ 135.00 University of Kentucky Santa Clara University Binghamton University $ 140.55 Creighton University Oklahoma State University $ 143.00 University of Houston The Evergreen State College $ 150.00 Towson University Montgomery College, Maryland $ 150.00 The University of Alabama University of Northern Colorado University of Arkansas $ 160.00 University of Oklahoma Mississippi State University $ 163.00 James Madison University University of Texas at Austin $ 166.00 University of South Florida University of Oklahoma Health Sciences Center University of Central Missouri $ 171.00 University of Texas at Arlington Boise State $ 176.00 University of Dayton Kansas State University $ 180.00 University of Minnesota -
M-Adic Perturbations in Noetherian Local Rings
Perturbations in Noetherian Local Rings m-adic Perturbations in Noetherian Local Rings Nick Cox-Steib [email protected] University of Missouri Abstract We develop new methods to study m-adic stability in an arbitrary Noetherian local ring. These tech- niques are used to prove results about the behavior of Hilbert-Samuel and Hilbert-Kunz multiplicities under fine m-adic perturbations. 1 Introduction The topic of this paper involves comparing a fixed ideal, I =( f1,..., fc) = f , inside a Noetherian local ring, (R,m ), with ideals of the form ( f + ε , f + ε ,..., f + ε ) = f + ε , where ε ,...,ε are in R 1 1 2 2 c c 1 c some large power of the maximal ideal of R. When it is in the interest of clarity and space and the ideal I is understood, we often use the notation M M M M := = , and M := IM f M ( f +ε) f + ε M where M is an R-module. We will refer to the ideals f + ε , as mR-adic perturbations of I, and, more generally, we may also speak of the quotients M as perturbations of M. At the most basic level, we ( f +ε) want to understand the relationship between I and its perturbations. Recent interest in these problems stems from their relationship to the deformation of properties. This arXiv:2011.08044v2 [math.AC] 14 Dec 2020 relationship has been formalized in a recent paper by De Stefani and Smirnov with the concept of m-adic stability [SS20]. A property, P, of Noetherian local rings is m-adically stable if it is stable under sufficiently small perturbations of ideals generated by a regular element — that is, for every regular element f in a Noetherian local ring (R,m) such that R/( f ) has property P, there is an N ∈ N such that R/( f + ε) also has property P for all ε ∈ mN. -
Luis David Garcıa Puente
Luis David Garc´ıa Puente Department of Mathematics and Statistics (936) 294-1581 Sam Houston State University [email protected] Huntsville, TX 77341–2206 http://www.shsu.edu/ldg005/ Professional Preparation Universidad Nacional Autonoma´ de Mexico´ (UNAM) Mexico City, Mexico´ B.S. Mathematics (with Honors) 1999 Virginia Polytechnic Institute and State University Blacksburg, VA Ph.D. Mathematics 2004 – Advisor: Reinhard Laubenbacher – Dissertation: Algebraic Geometry of Bayesian Networks University of California, Berkeley Berkeley, CA Postdoctoral Fellow Summer 2004 – Mentor: Lior Pachter Mathematical Sciences Research Institute (MSRI) Berkeley, CA Postdoctoral Fellow Fall 2004 – Mentor: Bernd Sturmfels Texas A&M University College Station, TX Visiting Assistant Professor 2005 – 2007 – Mentor: Frank Sottile Appointments Colorado College Colorado Springs, CO Professor of Mathematics and Computer Science 2021 – Sam Houston State University Huntsville, TX Professor of Mathematics 2019 – 2021 Sam Houston State University Huntsville, TX Associate Department Chair Fall 2017 – 2021 Sam Houston State University Huntsville, TX Associate Professor of Mathematics 2013 – 2019 Statistical and Applied Mathematical Sciences Institute Research Triangle Park, NC SAMSI New Researcher fellowship Spring 2009 Sam Houston State University Huntsville, TX Assistant Professor of Mathematics 2007 – 2013 Virginia Bioinformatics Institute (Virginia Tech) Blacksburg, VA Graduate Research Assistant Spring 2004 Virginia Polytechnic Institute and State University Blacksburg, -
Arxiv:2011.03572V2 [Math.CO] 17 Dec 2020
ORDER-FORCING IN NEURAL CODES R. AMZI JEFFS, CAITLIN LIENKAEMPER, AND NORA YOUNGS Abstract. Convex neural codes are subsets of the Boolean lattice that record the inter- section patterns of convex sets in Euclidean space. Much work in recent years has focused on finding combinatorial criteria on codes that can be used to classify whether or not a code is convex. In this paper we introduce order-forcing, a combinatorial tool which recognizes when certain regions in a realization of a code must appear along a line segment between other regions. We use order-forcing to construct novel examples of non-convex codes, and to expand existing families of examples. We also construct a family of codes which shows that a dimension bound of Cruz, Giusti, Itskov, and Kronholm (referred to as monotonicity of open convexity) is tight in all dimensions. 1. Introduction A combinatorial neural code or simply neural code is a subset of the Boolean lattice 2[n], where [n] := f1; 2; : : : ; ng. A neural code is called convex if it records the intersection pattern of a collection of convex sets in Rd. More specifically, a code C ⊆ 2[n] is open convex if there d exists a collection of convex open sets U = fU1;:::;Ung in R such that \ [ σ 2 C , Ui n Uj 6= ?: i2σ j2 =σ T S U The region i2σ Ui n j2 =σ Uj is called the atom of σ in U, and is denoted Aσ . The collection U is called an open realization of C, and the smallest dimension d in which one can find an open realization is called the open embedding dimension of C, denoted odim(C). -
Matrix Model Superpotentials and ADE Singularities
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Faculty Publications, Department of Mathematics Mathematics, Department of 2008 Matrix model superpotentials and ADE singularities Carina Curto University of Nebraska - Lincoln, [email protected] Follow this and additional works at: https://digitalcommons.unl.edu/mathfacpub Part of the Mathematics Commons Curto, Carina, "Matrix model superpotentials and ADE singularities" (2008). Faculty Publications, Department of Mathematics. 34. https://digitalcommons.unl.edu/mathfacpub/34 This Article is brought to you for free and open access by the Mathematics, Department of at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Faculty Publications, Department of Mathematics by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. c 2008 International Press Adv. Theor. Math. Phys. 12 (2008) 355–406 Matrix model superpotentials and ADE singularities Carina Curto Department of Mathematics, Duke University, Durham, NC, USA CMBN, Rutgers University, Newark, NJ, USA [email protected] Abstract We use F. Ferrari’s methods relating matrix models to Calabi–Yau spaces in order to explain much of Intriligator and Wecht’s ADE classifi- cation of N = 1 superconformal theories which arise as RG fixed points of N = 1 SQCD theories with adjoints. We find that ADE superpoten- tials in the Intriligator–Wecht classification exactly match matrix model superpotentials obtained from Calabi–Yau with corresponding ADE sin- gularities. Moreover, in the additional O, A, D and E cases we find new singular geometries. These “hat” geometries are closely related to their ADE counterparts, but feature non-isolated singularities. As a byproduct, we give simple descriptions for small resolutions of Gorenstein threefold singularities in terms of transition functions between just two co-ordinate charts. -
Algebra & Number Theory Vol. 7 (2013)
Algebra & Number Theory Volume 7 2013 No. 3 msp Algebra & Number Theory msp.org/ant EDITORS MANAGING EDITOR EDITORIAL BOARD CHAIR Bjorn Poonen David Eisenbud Massachusetts Institute of Technology University of California Cambridge, USA Berkeley, USA BOARD OF EDITORS Georgia Benkart University of Wisconsin, Madison, USA Susan Montgomery University of Southern California, USA Dave Benson University of Aberdeen, Scotland Shigefumi Mori RIMS, Kyoto University, Japan Richard E. Borcherds University of California, Berkeley, USA Raman Parimala Emory University, USA John H. Coates University of Cambridge, UK Jonathan Pila University of Oxford, UK J-L. Colliot-Thélène CNRS, Université Paris-Sud, France Victor Reiner University of Minnesota, USA Brian D. Conrad University of Michigan, USA Karl Rubin University of California, Irvine, USA Hélène Esnault Freie Universität Berlin, Germany Peter Sarnak Princeton University, USA Hubert Flenner Ruhr-Universität, Germany Joseph H. Silverman Brown University, USA Edward Frenkel University of California, Berkeley, USA Michael Singer North Carolina State University, USA Andrew Granville Université de Montréal, Canada Vasudevan Srinivas Tata Inst. of Fund. Research, India Joseph Gubeladze San Francisco State University, USA J. Toby Stafford University of Michigan, USA Ehud Hrushovski Hebrew University, Israel Bernd Sturmfels University of California, Berkeley, USA Craig Huneke University of Virginia, USA Richard Taylor Harvard University, USA Mikhail Kapranov Yale University, USA Ravi Vakil Stanford University, -
Duke University News May 10, 2005
MathDuke University News May 10, 2005 Mathematics since 1978, she has been a major Events participant in Calculus reform, and has been very active in the Women in Science and Engineering Math Department Party (WISE) program.This program o ers academic, nancial and social support to female undergrad- A large group of undergraduate and gradu- uate students in those elds. ate students mixed with the faculty at the an- nual mathematics department party on April 28. Jordan Ellenberg On the day after classes ended, members of the Duke mathematical community packed the de- In a March 1 talk scheduled by DUMU, Jordan partment lounge to enjoy sandwiches and con- Ellenberg of Princeton University and the Uni- versation in an informal setting. This party is the versity of Wisconsin gave an enjoyable talk relat- traditional occasion for the faculty to honor the ing the card game Set to questions in combinato- graduating students, contest participants and re- rial geometry. A dozen DUMU students enjoyed search students for their hard work and accom- chatting with him at dinner after his talk. plishments. Many math majors received the Set is a simple but addictive card game played 2005 Duke Math shirt, some received certi cates with a special 81-card deck. A standard "folk- and a few took home generous cash prizes. A lore question" among players of this game is: good time was had by all. what is the largest number of cards that can be on the table which do not allow a legal play?He Graduation Luncheon explained how this question, which seems to be At noon, immediately after Graduation Exer- about cards, is actually about geometry over a - cises on Sunday May 15, senior math majors nite eld.He presented several results and ended and their families will meet in the LSRC dining with a number of open mathematical problems room. -
Fuelling the Surge: the University of Regina's Role in Saskatchewan's Growth
Report Fuelling the Surge: The University of Regina’s Role in Saskatchewan’s Growth The Conference Board of Canada July 2012 Fuelling the Surge: The University of Regina’s Role in Saskatchewan’s Growth 2 Fuelling the Surge: The University of Regina’s Role in Saskatchewan’s Growth by The Conference Board of Canada About The Conference Board of Canada We are: The foremost independent, not-for-profit, applied research organization in Canada. Objective and non-partisan. We do not lobby for specific interests. Funded exclusively through the fees we charge for services to the private and public sectors. Experts in running conferences but also at conducting, publishing, and disseminating research; helping people network; developing individual leadership skills; and building organizational capacity. Specialists in economic trends, as well as organizational performance and public policy issues. Not a government department or agency, although we are often hired to provide services for all levels of government. Independent from, but affiliated with, The Conference Board, Inc. of New York, which serves nearly 2,000 companies in 60 nations and has offices in Brussels and Hong Kong. Acknowledgements This report was prepared under the direction of Diana MacKay, Director, Education, Health and Immigration. Michael Bloom, Vice-President, Organizational Effectiveness and Learning provided strategic advice and oversight. The primary author was Jessica Brichta. Michael Bloom, Caitlin Charman, Ryan Godfrey, Michael Grant, and Diana MacKay made Conference Board staff contributions to the report. Marie-Christine Bernard, Michael Burt, Donna Burnett-Vachon, Len Coad, Mario Lefebvre, Dan Munro, Matthew Stewart, Hitomi Suzuta, and Douglas Watt conducted internal Conference Board reviews. -
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. -
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. -
Proceedings of the Conference on Promoting Undergraduate Research in Mathematics Proceedings of the Conference on Promoting Undergraduate Research in Mathematics
In the span of twenty years, research in Proceedings mathematics by undergraduates has gone from rare to commonplace. To examine Promoting Undergraduate Research in Mathematics Gallian, Editor of the and promote this trend, the AMS and Proceedings NSA sponsored a three-day conference Conference in September 2006 to bring together of the mathematicians who were involving on Promoting undergraduates across the country in Conference on mathematics research to exchange ideas, Undergraduate discuss issues of common concern, establish contacts, and gather information Research in that would be of value to others interested Promoting in engaging undergraduates in mathematics Mathematics research. The conference featured plenary talks, panel discussions, and small group sessions. The topics included summer Undergraduate research programs, academic year research Joseph A. Gallian opportunities, diversity issues, assessment Editor methods, and perspectives from alumni Research in of research programs. This volume is the proceedings of that conference. Mathematics Joseph A. Gallian Editor AMS on the Web PURM/GALLIAN2 www.ams.org AMS 472 pages • Spine Width: 7/8 inch • Two Color Cover: This plate PMS 4515 (Beige) This plate PMS 323 (Teal) Proceedings of the Conference on Promoting Undergraduate Research in Mathematics Proceedings of the Conference on Promoting Undergraduate Research in Mathematics Joseph A. Gallian Editor American Mathematical Society Providence, Rhode Island Cover photography courtesy of Cindy Wyels, CSU Channel Islands, Camarillo, CA, and Darren Narayan, Rochester Institute of Technology, Rochester, NY. This material is based upon work supported by National Security Agency under grant H98230-06-1-0095. ISBN-13: 978-0-8218-4321-5 ISBN-10: 0-8218-4321-4 Copyright c 2007 American Mathematical Society Printed in the United States of America. -
Commutative Algebra Provides a Big Surprise for Craig Huneke's Birthday
CÓÑÑÙØaØiÚe aÐgebÖa ÔÖÓÚide× a big ×ÙÖÔÖi×e fÓÖ CÖaig ÀÙÒeke³× biÖØhdaÝ Irena Swanson Communicated by Tom Garrity A commutative algebra conference in July, 2016, on the occasion of Craig Huneke’s 65th birthday, included a major mathematical surprise. Craig Huneke has been at the forefront of research in commutative algebra, introducing and advancing several influential notions, such as d-sequences, licci ideals, symbolic powers, homological methods, computational methods, tight closure, uniform bounds, and prime characteristic methods. He has mentored 24 PhD students and many postdocs; he has co-organized conferences, such as the Kansas-Missouri-Nebraska KUMUNU commutative algebra conference; he has served on the Executive Committee of the AMS and on the Board of Trustees of the MSRI. Almost all the talks were directly related to Huneke’s work, and most speakers started their talks describing how Huneke affected their work as a mathematician and as a person; they talked about his mathematical productivity, extensive collaborations, productive and precious lunches with napkin notes, excellent and influential talks, his advising, mentoring, his friendly competitiveness, and so on. Claudia Polini addressed how commutative algebra in general is friendly to women (possibly due to Emmy Noether being one of us), and in particular how Huneke has been a tremendous role model as a teacher, collaborator, mentor, and organizer. His own family life, with wife Edith Clowes, Professor of Slavic Languages and Literatures, and their children Sam and Ned, has been a shining example for possibilities in home and professional life for women in academia. During the banquet, Hochster read his poem honoring Huneke.