Michigan Section–MAA Newsletter U
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Superirreducibility of Polynomials, Binomial Coefficient Asymptotics
Superirreducibility of Polynomials, Binomial Coefficient Asymptotics and Stories From My Classroom by Lara Du A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy (Mathematics) in The University of Michigan 2020 Doctoral Committee: Professor Mattias Jonsson, Co-Chair Professor Trevor Wooley, Co-Chair Professor Ratindranath Akhoury Professor Jeffrey Lagarias Dr Elaine Lande Lara Du [email protected] ORCID id: 0000-0001-6749-4867 c Lara Du 2020 ACKNOWLEDGEMENTS This work was partially supported by NSF grant DMS-1701577 and a Department of Mathematics Fellowship. I was extremely fortunate during my graduate school years to have had excellent mentors that helped me grow both as a mathematician and as a teacher. Mathematically, I benefitted from regular meetings with Professors Trevor Wooley, Mattias Jonsson and Jeff Lagarias, who have all advised me in some form during my PhD programme. Working with Trevor, I really found my place in the mathematical commu- nity: learning how to develop as an academic and have meaningful mathematical conver- sations while staying true to my own beliefs and roots. From Mattias, I learned to pursue the math that I found interesting, seeking out opportunities that were best for me and find- ing the conviction I needed to see them through. From Jeff, I learned to problem-solve, to adjust the research question I was asking if appropriate, to take things as slowly as I needed, but to never give up on seeking beautiful mathematical truths. Throughout graduate school, I’ve also benefitted enormously from collaboration with Gene Kopp, Jonathan Bober and Dan Fretwell and from the mathematical mentorship of Evangelia Gazaki. -
Name School Year Appointment and Honors Faculty at Harvard 1943-1985; Member of American Academy of Arts and Sciences and the National Academy of Science
Name School Year Appointment and Honors Faculty at Harvard 1943-1985; Member of American Academy of Arts and Sciences and the National Academy of Science. Died Rice 1938 George W. Mackey March 15, 2006. Harvard University 1941-1944; Columbia University 1944-1945; University of Chicago 1945-1984; Director of MSRI 1984- 1992; University of California at Berkeley. Member of National Academy of Sciences and American Academy of Arts and Toronto 1938 Irving Kaplansky Sciences; 1989 AMS Steele Prize for cumulative influence; President of AMS 1985-1986; Member of National Academy of Sciences and American Academy of Arts and Sciences. Died June 25, 2006 College of St. Michael J. Norris 1938 Case Western Reserve, Sandia Laboratories Thomas Fort Hays Kansas Robert W. Gibson 1938 State Bernard Sherman Brooklyn College 1938, 1939 University of New Mexico Abraham Hillman Brooklyn College 1939 Professor at New Mexico State University (retired) Albert Einstein Award 1954; Lawrence Award 1962; Nobel Prize in Physics 1965] ; Member of National Academy of Sciences ; MIT 1939 Richard P. Feynman Appeared on US postage stamp: National Medal of Science 1979; Died February 15, 1988. University of Michigan 1948-1950 Uinversity of California at Berkeley Director of Scripps Institute of Oceanography, UC-San City College of NY 1939 William Nierenberg Diego 1965-1986 Died in 2000 http://content.cdlib.org/view?docId=tf8k4009q3&chunk.id=bioghist-1.8.3 Edward L. Kaplan Carnegie Tech 1939, 1940, 1941 University of Oregon John Cotton Maynard Toronto 1940 Actuary Robert Maughan Snow George Washington 1940 Department of Transportation W. J. R. Crosby Toronto 1940 Assoc. -
A Special Issue on Formal Proof
Notices of the American Mathematical Society ISSN 0002-9920 ABCD springer.com New and Noteworthy from Springer Least-Squares Collected More Math Into LaTeX Finite Element Methods Papers of G. Grätzer, University of Manitoba, of the American Mathematical Society P. B. Bochev, Sandia National Bertram Winnipeg, MB, Canada December 2008 Volume 55, Number 11 Laboratories, Albuquerque, NM, USA; Kostant In this fourth edition, the reader is M. D. Gunzburger, Florida State provided with important updates on University, Tallahassee, FL, USA Volume I articles and books. An important new 1955-1966 This book provides researchers and topic is discussed: transparencies practitioners with a concise guide to the B. Kostant, (computer projections). A new online theory and practice of least-square Massachusetts visual tutorial is also available. Please finite element methods, their strengths Institute of Technology, Cambridge, visit springer.com/978-0-387-32289-6 Formal Proof and weaknesses, established successes, MA, USA for more information, or take a tour of and open problems. Editors: A. Joseph, Weizmann Institute, this unique tutorial. page 1370 Israel; S. Kumar, UNC Chapel Hill, NC, 2007. XXXIV, 619 p. 44 illus. Softcover 2009. Approx. 285 p. (Applied Mathe- USA; M. Vergne, École Polytechnique, ISBN 978-0-387-32289-6 $49.95 matical Sciences, Volume 166) Hardcover Palaiseau Cedex, France Formal Proof—The ISBN 978-0-387-30888-3 approx. $69.95 For more than five decades Bertram Generalized Four-Color Theorem Elementary Number Kostant has been one of the major Measure architects of modern Lie theory. page 1382 Theory: Primes, Virtually all of his papers are pioneering Theory Congruences, and Secrets with deep consequences, many giving Z. -
View from the Chair's Office Mel Hochster Named New Chair
ContinuUM Newsletter of the Department of Mathematics at the University of Michigan 2008 View from the Mel Hochster Named Chair's Office New Chair Tony Bloch This has been a busy year for the Department of Mathemat- It is exciting for me to have the chance to serve as Chair of ics. The year was mostly upbeat and filled with interesting math- the Department of Mathematics. ematical occasions. Unfortunately, however, we were saddened In his column, Tony Bloch has spoken of the passing of our by the tragic loss of our esteemed colleague and good friend, colleagues, Juha Heinonen and Wilfred Kaplan. Wiflred contrib- Juha Heinonen, and we mourn the passing of our much loved and uted so much to the admired emeritus professor, Wilfred Kaplan. Department for such During this past academic year we had 21 visiting scholars a long time that it is and faculty members playing an active role within the Depart- hard to imagine be- ment, and more than 160 short-term visitors. In addition, our own ing without him. faculty members presented numerous lectures at venues through- The unexpected out the USA and all over the world. loss of Juha Heino- We had an excellent colloquium series. We also enjoyed two nen this past year superb lecture series, one on Hyperbolic Dynamics by Curt Mc- was a tremendous Mullen and the other on Complex Manifolds by Gang Tian. In shock. He was an addition, our Department members organized numerous confer- amazing man, both ences on various subjects, including a wonderful conference in a renowned math- honor of Juha Heinonen. -
AMS Council Minutes
American Mathematical Society COUNCIL MINUTES Seattle, Washington 05 January 2016 at 1:30 p.m. American Mathematical Society COUNCIL MINUTES Seattle, Washington 05 January 2016 at 1:30 p.m. Prepared February 16, 2016 Revised April 4, 2016 The Council of the Society met at 1:40 p.m. (PST) on Tuesday, 05 January 2016, in the Metropolitan Ballroom A at the Sheraton Seattle Hotel, 1400 Sixth Avenue, Seattle, WA, 98101. There was a refreshment break at 3:45 p.m. and a Council dinner at 6:30 p.m. These are the minutes of the meeting. Although several items were discussed in Executive Session, all actions taken are reported in these minutes. Conflict of Interest Policy for Officers and Committee Members (as approved by the January 2007 Council) A conflict of interest may exist when the personal interest (financial or other) or con- cerns of any committee member, or the member’s immediate family, or any group or organization to which the member has an allegiance or duty, may be seen as competing or conflicting with the interests or concerns of the AMS. When any such potential conflict of interest is relevant to a matter requiring partici- pation by the member in any action by the AMS or the committee to which the member belongs, the interested party shall call it to the attention of the chair of the committee and such person shall not vote on the matter. Moreover, the person having a conflict shall retire from the room in which the committee is meeting (or from email or conference call) and shall not participate in the deliberation or decision regarding the matter under consideration. -
Mathematical Sciences Research Institute Annual Report, 2016-2017
Annual Report on the Mathematical Sciences Research Institute 2016–2017 activities supported by NSF Grant DMS-1440140 June 1, 2016 to May 31, 2017 July 2017 Mathematical Sciences Research Institute Annual Report, 2016-2017 1. Overview of Activities ................................................................................................................... 1 1.1 New Developments ............................................................................................................ 1 1.2 Summary of Demographic Data for 2016-17 Activities .................................................... 7 1.3 Scientific Programs and their Associated Workshops ....................................................... 9 1.4 Scientific Activities Directed at Underrepresented Groups in Mathematics ................... 11 a. Connections for Women Workshops .................................................................. 11 b. MSRI-UP 2016 (DMS-1156499) ........................................................................ 12 c. Modern Math Workshop at SACNAS ................................................................ 12 d. Blackwell-Tapia Conference 2016 ..................................................................... 12 1.5 Summer Graduate Schools 2016 ...................................................................................... 12 1.6 Other Scientific Workshops ............................................................................................. 13 1.7 Education & Outreach Activities .................................................................................... -
La Salle University Philadelphia, PA
The Mathematical Association of America Joint Meeting of the New Jersey And Eastern Pennsylvania and Delaware Sections La Salle University Philadelphia, PA Saturday, November 6, 2010 Abstracts and Biographies of Speakers Two (More) Morsels from Euler William Dunham Koehler Professor of Mathematics Muhlenberg College Euler’s 2007 tercentenary generated a number of talks about his celebrated mathematical triumphs. Here we examine a pair of lesser-known theorems in which his genius was on full display. In the first, we consider Euler’s response to the challenge of finding four different whole numbers, the sum of any pair of which is a perfect square. With characteristic ingenuity, he came up with the fearsome foursome of 18530, 38114, 45986, and 65570. We’ll look over his shoulder to see how he did it. Moving from number theory to analysis, we examine his summation of the series of reciprocals of squares – i.e., 1 + 1/4 + 1/9 + 1/16 + … -- as presented in his 1755 text on differential calculus. The amazing thing about this derivation is that it used l’Hospital’s rule … not once nor twice, but thrice! These two results, which require only elementary mathematics, are reminders of why Euler should be celebrated on his 300th birthday and always. William Dunham, who received his B.S. (1969) from the University of Pittsburgh and his M.S. (1970) and Ph.D.(1974) from Ohio State, is the Truman Koehler Professor of Mathematics at Muhlenberg College. Dunham has directed NEH-funded seminars on math history at Ohio State and has spoken on historical topics at the Smithsonian Institution, on NPR’s “Talk of the Nation: Science Friday,” and on the BBC.