Program Schedule


The following is a tentative program schedule for the XX Red Raider Mini-Symposium. Please check back here for the most up-to-date information.


Opening – Saturday, April 25, 2026 – Math Building Room 108

Time Event
9:00 am – 9:15 am Welcome from Dr. Tosha Dupras, Dean of the College of Arts & Sciences

Morning Session – Math Building Room 108

Time Speaker Title Abstract
9:20 am – 10:10 am Zhiqin Lu
(University of California, Irvine)		 The Lp spectrum and heat kernel estimates In this talk, we establish a relation between the Lp spectrum and the (complex time) heat kernel estimates. We will use the wave kernel to prove the Lp boundedness of the Laplacian resolvent. This is a joint work with N. Charalambous.
10:20 am – 11:10 am Jr-Shin Li
(Washington University in St. Louis)		 Ensemble Control and Learning on Fiber Bundles Controlling large populations of heterogeneous dynamical systems is a central challenge in emerging areas ranging from quantum technologies and neuroscience to robotics. This essential task has catalyzed advances in ensemble systems theory. In this talk, I will address functional and distributional control problems induced by heterogeneous ensemble systems under different types of aggregated measurements tied to system labels, and illustrate how these problems naturally admit a fiber bundle structure. I will then introduce moment kernel machines (MKMs), which transform these large-scale (ultimately infinite-dimensional) control systems into dual representations on a moment space. The resulting moment transform quantizes ensemble systems and reveals distinctive structures that enable tractable systems-theoretic analysis, computation, and control design. I will further show how MKMs connect to information geometry, optimal transport, and data-driven control, and how they enable ensemble-control-driven machine learning on fibered manifolds.

Poster Session & Lunch – 1st Floor Lounge, Math Building

Time Event
11:30 am – 2:00 pm Poster Session and Department Gourmet Lunch Buffet – 1st Floor Lounge, Math Building

Afternoon Session – Math Building Room 108

Time Speaker Title Abstract
2:00 pm – 2:50 pm Vladimir Dragović
(University of Texas at Dallas)		 Isoperiodic deformations of meromorphic differentials on Riemann surfaces, soliton equations, and SU(N) Seiberg-Witten theory We study deformations of elliptic and hyperelliptic Riemann surfaces with an Abelian differential of the second or third kind, which preserve the periods of the differential with respect to a chosen canonical homology basis of the surface. We derive differential equations with rational coefficients governing the deformations. We apply these results to soliton theory, e.g. to the Boussinesq, KdV, and sine-Gordon equations, and to the Toda lattice, as well as to SU(N) Seiberg-Witten theories. The talk is based on new and recent joint results with Vasilisa Shramchenko:

  • V. Dragović, V. Shramchenko, Deformations of the Hill curves and isoperiodicity in the KdV and sine-Gordon equations, arXiv:2512.06168
  • V. Dragović, V. Shramchenko, Isoperiodic deformations of Toda curves and lattices and SU(N) Seiberg-Witten theories, arXiv:2512.21441
  • V. Dragović, V. Shramchenko, Isoharmonic deformations and constrained Schlesinger systems, arXiv:2112.04110
  • V. Dragović, V. Shramchenko, Deformation of the Zolotarev polynomials and Painlevé VI equations, Letters in Mathematical Physics, 2021.
  • V. Dragović, V. Shramchenko, Algebro-geometric approach to an Okamoto transformation, the Painlevé VI and Schlesinger equations, Annales Henri Poincaré, 2019.
3:00 pm – 3:50 pm Jacob Bernstein
(Johns Hopkins University)		 Complexity of submanifolds and mean curvature I will discuss some related notions of the complexity of submanifolds of Euclidean space and their relationship to mean curvature.
4:00 pm – 4:50 pm Francesco Maggi
(University of Texas at Austin)		 Asymptotic behavior of a diffused volume preserving mean curvature flow We consider a diffused interface version of the volume-preserving mean curvature flow in the Euclidean space, and prove, in every dimension and under natural assumptions on the initial datum, exponential convergence towards single "diffused balls." The relation with the problem of determining the long time behavior of the standard volume-preserving mean curvature flow is also discussed. This is based on joint works with Matteo Bonforte (U. Autonoma Madrid) and Daniel Restrepo (Johns Hopkins U.); see arXiv:2202.11583 and arXiv:2407.18868.

Evening – Dinner at Reserve Culinary Tavern

Time Event
6:00 pm Remark from Dr. Raegan Higgins, Chair of the Department of Mathematics and Statistics, and Dinner at Reserve Culinary Tavern (limited reservations; rides must be requested in advance)

Program Schedule – Location


The talks will be held in Room 108 of the Mathematics and Statistics Building at Texas Tech University, Lubbock, TX. The poster session and gourmet lunch buffet will take place in the 1st floor lounge of the Math Building. The department chair's remark and dinner will be at Reserve Culinary Tavern.