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), Stoyan Dimitrov (2023-2025)

Current co-organizers:
Doron Zeilberger (doronzeil {at} gmail [dot] com)
Aurora Hiveley (aurora.hiveley {at} scarletmail [dot] rutgers [dot] edu)
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., Nov. 20, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Vladimir Retakh, Rutgers University

Title: (Non)commutative integrable systems and Catalan numbers

Abstract: will discuss connections of Catalan numbers with solutions of some systems of differential equations over (non)commutive algebras.

Joint work with Ilia Gaiur and Vladimir Rubtsov


Date: Thu., Dec. 4, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Mei Yin, University of Denver

Title: Continuous parking sequences

Abstract:We introduce the notion of continuous parking sequences as a continuous analogue of parking functions. We allow the cars to have different lengths and the street to be longer than the sum of the lengths of the cars. We determine the volume of the set of continuous parking sequences. Furthermore, we study the distribution where the first car, respectively, the last car would like to park. Joint work with Richard Ehrenborg and Stephan Wagner.


Date: Thu., Dec. 11, 2025, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Manuel Kauers, Johannes Kepler University, Linz, Austria

Title: Guessing with little data

Abstract: Automated guessing is a very popular tool in experimental mathematics. Given the first few terms of an infinite sequence, it tries to find a recurrence that the sequence is in some way likely to satisfy. If the sequence under consideration indeed satisfies a recurrence and a sufficient number of initial terms is supplied as input, then the method is bound to find the correct answer. But sufficiently many initial terms are not always available. Together with Christoph Koutschan, we have proposed a variant of the classical method that needs fewer terms and catches some of these cases. We will explain the idea behind this variant and present some conjectures that have been found with the method.


Spring 2026

Date: Thu., Jan. 29, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Drew Sills, Georgia Southern University

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Date: Thu., Feb. 5, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., Feb. 12, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: José L. Ramírez, Universidad Nacional de Colombia

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Date: Thu., Feb. 19, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., Feb. 26, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., March 5, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., March 12, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., March 19, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

NO TALK (SPRING BREAK)


Date: Thu., March 26, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., April 2, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., April 9, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., April 16, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., April 23, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Thu., April 30, 2026, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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