Talks

Invited:

• (Title to be announced), Session on: “Unveiling Connections: Number Theory Meets Algebraic Geometry,” 2025 Fall Eastern Virtual Sectional Meeting of the AMS, 25–26 October, 2025.
• “Multiplicities in Congruences Between Modular Forms,” Algebra and Number Theory Seminar, University of Vienna, 29 April, 2025.
• “The Classification of Modular Congruence Families,” AMS Special Session on Current Directions on Modular Forms: in Twenty Minutes Snippets, Joint Mathematics Meetings, Seattle, WA, 8–11 January, 2025.
• “Some Examples of Modular Symmetry Breaking,” AMS Special Session on Partition Theory and q-Series, Joint Mathematics Meetings, Seattle, WA, 8–11 January, 2025.
• “Ramanujan Congruences Splitting Over Composite Modular Curves,” AMS Special Session on Partitions and $q$-series, Fall Southeastern Sectional Meeting, Savannah, GA, 5-6 October, 2024.
• “Automorphic Mappings and Congruence Families” (Joint work with Frank Garvan and James A. Sellers), The Legacy of Ramanujan: Celebrating the 85th Birthdays of George Andrews and Bruce Berndt, Penn State University, PA, 6–9 June, 2024.
• “On the Classification of Modular Congruence Families,” International Conference on Modular Forms and q-Series, University of Cologne, Germany, 11–15 March, 2024.
• “Frobenius Partitions and New Congruence Families,” AMS Special Session on Partition Theory and q-Series, Joint Mathematics Meetings, San Francisco, CA, 4 January, 2024.
• “Partitions and Their Surprising Arithmetic,” 19th Annual International Conference on Srinivasa Ramanujan, SASTRA Deemed to be University, Kumbakonam, Tamil Nadu, India, 20–22 December, 2023.
• “Verifying Partition Congruences with Symbolic Computation,” AMS Special Session on Interactions Among Partitions, Basic Hypergeometric Series, and Modular Forms, Joint Mathematics Meetings, Denver, CO, 15–18 January, 2020.

Contributed:

• “Identifying Integer Partition Congruences,” Austrian Stochastics Days, University of Innsbruck, 4-6 September, 2024.
• “Partitions and Congruence Ideals,” Algebra and Number Theory Seminar, University of Vienna, 30 January, 2024
• (with Michael J. Schlosser) “A Finite Extension of a Partition Bijection,” SFB Veterans’ Meeting, Schloss R\oe thelstein, Admont, 14 November, 2023.
• “Partitions, Congruence Ideals, and the Localization Method,” Discrete Mathematics Seminar, University of Vienna, 24 October, 2023.
• “Localization Applied to a Genus 1 Congruence Family,” Algorithmic Combinatorics Seminar, RISC, Hagenberg, 22 March, 2023.
• “Provisional Results in the Localization Method,” Algorithmic Combinatorics Seminar, RISC, Hagenberg, 30 January, 2023.
• “Congruence Kernels and the Localization Method,” Arbeitsgruppe Algebra und Zahlentheorie, MI Köln, 28 November, 2022.
• “Additive Number Theory: An Introduction to Partition Numbers and Their Mysterious Laws,” DK “Computational Mathematics” Concluding Event, Strobl, October, 2022.
• “Partitions, Kernels, and the Localization Method,” The 88th Seminaire Lotharingien de Combinatoire, Strobl, September, 2022.
• “Some New Congruence Families and Unfamilies,” Algorithmic Combinatorics Seminar, RISC, Hagenberg, 15 June, 2022.
• “k-Elongated Plane Partitions and Divisibility by 5″ (Formerly “Computing Partition Identities Arising From Generalized Eta Quotients”), AMS Special Session on Modular Forms and Combinatorics, Joint Meetings of the AMS and MAA, Zoom Virtual Seminar, 9 April 2022.
• “k-Elongated Plane Partitions and Divisibility by 5,” Algorithmic Combinatorics Seminar, RISC, Hagenberg, 6 April, 2022.
• “The Localization Method Applied to Partition Congruences,” Statusseminar, SFB F50 Algorithmic and Enumerative Combinatorics, Zoom Virtual Seminar, 1 December, 2021.
• “Plane Partition Congruences and Localization,” Specialty Seminar in Partition Theory, q-Series and Related Topics, Michigan Technological University, Zoom Virtual Seminar, 11 November, 2021.
• “A Congruence Family For 2-Elongated Plane Partitions,” Algorithmic Combinatorics Seminar, RISC, Hagenberg, 20 October, 2021.
• “Partition Congruences and the Localization Method,” Vanderbilt University Number Theory Seminar, Zoom Virtual Seminar, 8 September, 2020.
• “ Some New Identities From the Ramanujan–Kolberg Algorithm,” Contributed Talk, Analytic and Combinatorial Number Theory: The Legacy of Ramanujan, University of Illionois at Urbana–Champaign, 7 June, 2019.
• “A Family of Congruences for Rogers–Ramanujan Subpartitions,” Contributed Talk, Combinatory Analysis 2018: A Conference in Honor of George Andrews’ 80th Birthday, Pennsylvania State University, University Park, PA, 21 June, 2018.
• “Enumerating the Partitions of the G\”ollnitz–Gordon Identities,” Joint Meetings of the AMS and MAA, Baltimore, MD, 6 January, 2016.
• “On the Stability of Ring Structures in Direct Limits,” Joint Meetings of the AMS and MAA, Baltimore, MD, 17 January, 2014.
• “The Structure of Consecutive Octic Residues,” Joint Meetings of the AMS and MAA, San Diego, CA, 10 January, 2013.