RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

sponsored by the

Rutgers University
Department of Mathematics

and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

Founded 2003 by Drew Sills and Doron Zeilberger.

Former co-organizers: Drew Sills (2003-2007), Moa ApaGodu (2005-2006), Lara Pudwell (2006-2008), Andrew Baxter (2008-2011), Brian Nakamura (2011-2013), Edinah Gnang (2011-2013), Matthew Russell (2013-2016), Nathan Fox (2016-2017), Bryan Ek (2017-2018), Mingjia Yang (2018-2020), Yonah Biers-Ariel (2018-2020), Robert Dougherty-Bliss (2020-2024)

Current co-organizers:
Doron Zeilberger (doronzeil {at} gmail [dot] com)
Stoyan Dimitrov (emailtostoyan {at} gmail [dot] com)
Lucy Martinez (lm1154 {at} scarletmail [dot] rutgers [dot] edu)

Archive of Previous Speakers and Talks You can find links to videos of some of these talks as well. Currently, our videos are being posted to our Vimeo page. Previously, we had videos posted on our YouTube page.


If you would like to be added to the weekly mailing list, email Lucy Martinez: lm1154 {at} scarletmail [dot] rutgers [dot] edu

Forthcoming Talks

Date: Thu., Jan. 23, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Stoyan Dimitrov, Rutgers University

Title: Picking, posing and attacking natural problems in discrete mathematics: from insightful bijections to black-box help from machine learning

Abstract: We will walk through several combinatorial results. Half of them have important motivation coming from computer science and the other half explain surprising observations made by experimentation. We will begin by a high-level discussion on how one shall pick or pose his problems, and end by sharing more about an exciting machine learning technique that may change the way we approach combinatorial (and mathematical) problems in general. Some exciting open questions will also be mentioned.

Date: Thu., Jan. 30, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Shachar Weinbaum, Technion (member of the Ramanujan Machine group)

Title: A map of the holonomic forest - searching for irrationality with Conservative Matrix Fields

Abstract: Is this number irrational? This question has been troubling mathematicians since the time of Pythagoras, and inspired a search for good rational approximations of constants. Examining the literature on irrationality, we notice a recurring theme: holonomic sequences. These recursive sequences have dominated this field, generating very good approximations. In this talk we shall detail an experimental journey into the "forest" of holonomic functions. In our exploration, we will pick up a powerful object - the Conservative Matrix Field. With this map in hand, we shall re-discover many known Diophantine approximations (Apery, Beukers, Zudilin, Aptekareve), and some new ones as well. If time permits, we will detail more deeply the conjectured properties of these Matrix Fields.

Date: Thu., Feb. 6, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: David Broadhurst, Open University, UK

Title: Resurgent integer sequences

Abstract: In combinatorics, we happily manipulate formal power series, taking no heed of whether they might converge. Applied mathematicians encounter series with no radius of convergence, about which they worry. Jean Ecalle mediates between these communities, by telling us about resurgent trans-series. I shall give an account of how an integer sequence from a problem in physics exhibits resurgence.

Date: Thu., Feb. 13, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., Feb. 20, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., Feb. 27, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Daniel Herden, Baylor University

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Date: Thu., March 6, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., March 13, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Arundhathi Krishnan,Mary Immaculate College, Thurles, Ireland

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Date: Thu., March 20, 2025, 5:00pm (Eastern Time): No talk (Spring break)
Date: Thu., March 27, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu.,April 3, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu.,April 10, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu.,April 17, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu.,April 24, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., May 1, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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