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Publications and Preprints
  1. Universal support for triangulated categories (with P. Balmer), to appear in C. R. Math. Acad. Sci. Paris, 2024.
  2. Symmetric monoidal equivalences of topological quantum field theories in dimension two and Frobenius algebras, to appear in Proc. Amer. Math. Soc., 2024.
  3. A compositional account of motifs, mechanisms, and dynamics in biochemical regulatory networks (with R. Aduddell, J. Fairbanks, A. Kumar, E. Patterson, and B. T. Shapiro).
  4. A primer on twists in the noncommutative realm focusing on algebra, representation theory, and geometry (with K. Ueyama and P. Veerapen), to appear in Contemp. Math., 2024.
  5. A dichotomy between twisted tensor products of bialgebras and Frobenius algebras (with A. Oswald), J. Algebra, 2024.
  6. Homotopy liftings and Hochschild cohomology of some twisted tensor products (with T. Oke and S. Witherspoon), J. Algebra Appl., 2022.
  7. Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products (with T. Karadag, D. McPhate, T. Oke, and S. Witherspoon), J. Pure Appl. Algebra, 2021.
Talks, Presentations, and Posters

The following is a non exhaustive list of the visual aids that I have used in some talks, presentations, posters, or other forms of oral communication, when participating in conferences, workshops, seminars, symposiums, colloquiums, or other gatherings. Since the aim of all of the texts below are to complement the oral media, they cannot be expected to be complete nor unequivocally accurate.

2023
Nov 13Quantum symmetries via twisted tensor products and their Balmer spectrum,
Algebra Seminar, Indiana University Bloomington, IN
2022
Jun 21Towards a relative support theory,
Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry, University of Washington, WA
Jun 15The relative Künneth theorem or the search for a relative support,
Homological Commutative Algebra and Related Topics, Georgia Southern University, GA
May 11Stable categories in modular representation theory,
Algebra Seminar, University of California, Los Angeles, CA
Mar 3Understanding twisted tensor products through deformations,
Algebra Seminar, University of California, Irvine, CA
2021
†Jul 28The relative Künneth theorem,
Building Relationships for an Inclusive and Diverse Group of Emerging Students, University of Utah, UT
2020
Sep 29Hochschild cohomology of general twisted tensor products,
Algebra and Number Theory Seminar, Louisiana State University, LA
Aug 19-21Homotopy liftings and Hochschild cohomology of some twisted tensor products (with notes and slides),
Encuentro Virtual de Algebra Homologica, Universidad de Buenos Aires, Universidad Nacional de Mar del Plata, Universidad Nacional del Sur, Argentina
May 2-3On the Gerstenhaber bracket in relative Hochschild cohomology of associative algebras (with slides),
A Zoom Special Session on DG Methods in Commutative Algebra and Representation Theory, University of Utah, UT
†May 2-3On the Gerstenhaber bracket in relative Hochschild cohomology of associative algebras (with slides),
AMS Spring Western Sectional Meeting, California State University, Fresno, CA
Apr 22Structures in Hochschild cohomology (with notes, slides, and erratum),
Online Seminar, Mathematical Sciences Research Institute, CA
†Apr 11-12Hochschild Cohomology of twisted tensor product algebras,
Graduate Student Topology and Geometry Conference, Indiana University Bloomington, IN
†Apr 3-5Hochschild cohomology of twisted tensor products,
Underrepresented Students in Topology and Algebra Research Symposium, University of Iowa, IA
Apr 2Inner workings of the Hochschild cohomology of some twisted tensor products,
Algebra and Geometry Seminar, Iowa State University, IA
Mar 7The Gerstenhaber bracket on relative Hochschild cohomology,
Southwest Local Algebra Meeting, Tulane University, LA
Feb 22On the Hochschild cohomology ring of some twisted tensor products of algebras,
Seattle Noncommutative Algebra Day, University of Washington, WA

† Canceled, hosted online, or postponed due to COVID-19.
2019
Jul 8Hochschild cohomology of twisted tensor product algebras (with notes),
Ragnar's Ramifications in Algebra and Geometry Emerging Workshop, Fields Institute for Research in Mathematical Sciences, Canada
Jul 4Hochschild cohomology of twisted tensor product algebras,
Research School on Quantum Symmetries, Universidad de los Andes, Colombia
Jun 2Hochschild cohomology of twisted tensor product algebras (and brackets for certain quantum complete intersections),
Graduate Student Conference in Algebra, Geometry, and Topology, Temple University, PA
Apr 6Hochschild cohomology of twisted tensor product algebras (poster),
Texas-Oklahoma Representations and Automorphic Forms, University of North Texas, TX
Apr 6Hochschild cohomology of twisted tensor product algebras (slides),
Texas-Oklahoma Representations and Automorphic Forms, University of North Texas, TX
Mar 30Hochschild cohomology of twisted tensor product algebras (with notes),
Graduate Student Conference in Geometry and Topology, University of Illinois at Urbana-Champaign, IL
Mar 2Twisted tensor product algebras and compatibility of the bar resolution,
Graduate Algebra Symposium, University of Oklahoma, OK
Feb 16An algebraists view of the multinomial coefficients,
Gathering in Graduate Expository Mathematics, Texas A&M University, TX
2018
Oct 13Relative Hochschild cohomology and its Gerstenhaber product,
Graduate Algebra Symposium, University of Texas at Arlington, TX
Sep 20An approach to determinants,
Graduate Student Seminar, Texas A&M University, TX
Apr 21Using relative homological algebra in Hochschild cohomology,
Graduate Algebra Symposium, University of North Texas, TX
Mar 4Using relative homological algebra in Hochschild cohomology,
Gathering in Graduate Expository Mathematics, Texas A&M University, TX