Jordy Cheyem Lopez Garcia

Education

2019 - present	Ph. D. in Mathematics, Texas A&M University, USA
2011 - 2016	B.S./M.S. in Mathematics, The University of Texas Rio Grande Valley, USA

About Me

Howdy! I am a fifth year Ph.D. student working under the supervision of Frank Sottile and Paulo Lima-Filho. My interests lie in Algebraic Geometry, Category Theory, and their applications.

Preprints

• A1-Brouwer Degrees in Macaulay2 Submitted. Joint work with Nikita Borisov, Thomas Brazelton, Frenly Espino, Thomas Hagedorn, Zhaobo Han, Joel Louwsma, Wern Juin Gabriel Ong and Andrew Tawfeek.
• Deficiency of chemical reaction networks: The effect of operations that preserve multistationarity and periodic orbits Submitted. Joint work with Awildo Gutierrez, Elijah Leake, Caelyn Rivas-Sobie, and Anne Shiu.
• Additive Invariants of Open Petri Nets Submitted. Joint work with Benjamin Bumpus, Sophie Libkind, Layla Sorkatti and Sam Tenka.
• Irreducibility of the Dispersion Polynomial for Periodic Graphs Submitted. Joint work with Matthew Faust.
• On Hypergroups of Order at Most 6 Master thesis.

Manuscripts accepted for publication

Real Solutions to Systems of Polynomial Equations in Macaulay2 Joint work with Kelly Maluccio, Frank Sottile, and Thomas Yahl. Journal of Software for Algebra and Geometry, to appear.

Spring 2024

Algebraic Geometry in Spectral Theory. Mathematical Pathways to an Excellent Future, 24 May 2024, at the University of California, Riverside.

Operators, Polytopes and Toric Geometry. AMS Special Session on Combinatorial Insights into Algebraic Geometry at the Joint Mathematics Meetings, 3-6 January 2024, San Francisco, CA.

Fall 2023

Operators, Polytopes and Toric Geometry. Minisymposium on Discrete and Continuous Schrödinger Operators at the 6th Annual Meeting of the SIAM Texas-Louisiana Section, 3-5 November 2023, at the University of Louisiana at Lafayette.

A1-Brouwer Degrees in Macaulay2. Minisymposium on Applications of Combinatorial and Computational Algebraic Geometry at the 6th Annual Meeting of the SIAM Texas-Louisiana Section, 3-5 November 2023, at the University of Louisiana at Lafayette.

Spring 2023

Discrete Periodic Operators and Algebraic Geometry. AMS Southeastern Regional Meeting, 18 March 2023, at Georgia Institute of Technology.

Summer 2023

Help sessions for Math 251 in Bloc 342A, MW 9-11am, TR 12-2pm, and F 12-2pm (online through the Mathematics Learning Center).

Fall 2023

Texas A&M Hullabaloo U Instructor of Record.

Conference Organization

• Co-organizer of the Workshop on Applied and Computational Enumerative Geometry, 3-7 June 2024, at the Fields Institute in Toronto, Canada.
• Co-organizer of the minisymposium "Nonlinear Algebra in Applications" at the 6th Annual Meeting of the SIAM Texas-Louisiana Section, 3-5 November 2023, at the University of Louisiana at Lafayette.
• Local co-organizer of the conference "Spectral Theory and Applications", 10-13 October 2023, at Texas A&M University in College Station, TX.
• Co-organizer of the minisymposium "Applications and Computation in Algebraic Geometry" at the 5th Annual Meeting of the SIAM Texas-Louisiana Section, 4-6 November 2022, at the University of Houston.