Conferences and Meetings
Department of Mathematics and Statistics
Texas Tech University
In this talk, we shall define the Gaussian hypergeometric function and express the special values of 2_F_1, 3_F_2, and 4_F_3- Gaussian hypergeometric function in terms of traces of the Frobenius endomorphisms of certain families of elliptic curves. To obtain the value of 4_F_3- Gaussian hypergeometric function, we shall first discuss the finite field analogs of classical summation identity connecting F_3- classical Appell series and 4_F 3- classical hypergeometric series. As an application, we obtain the summation formula satisfied by the 4_F_3- Gaussian hypergeometric function.
Please attend this talk for a Department Post-Doc position at 10:30 AM CDT (UT-5) via this Zoom link.
Meeting ID: 941 6773 6910
Passcode: interview
We study discrete-time quantum walks on generalized Birkhoff polytope graphs (GBPGs), which arise in the solution-set to certain transportation linear programming problems (TLPs). It is known that quantum walks mix at most quadratically faster than random walks on cycles, two-dimensional lattices, hypercubes, and bounded-degree graphs. In contrast, our numerical results show that it is possible to achieve a greater than quadratic quantum speedup for the mixing time on a subclass of GBPG (TLP with two consumers and m suppliers). We analyze two types of initial states. If the walker starts on a single node, the quantum mixing time does not depend on m, even though the graph diameter increases with it. To the best of our knowledge, this is the first example of its kind. If the walker is initially spread over a maximal clique, the quantum mixing time is O(m/ϵ), where ϵ is the threshold used in the mixing times. This result is better than the classical mixing time, which is O(m^1.5/ϵ).
This is one of the works I published with some collaborators and my advisor during my Ph.D. at the Industrial, Manufacturing & Systems Engineering Department.
Please attend this talk for a Department Post-Doc position via this Zoom link.
Meeting ID: 991 2851 6437
Passcode: interview
Abstract pdf
Please attend this talk for a Department Post-Doc position via this Zoom link.
Meeting ID: 968 8926 6311
Passcode: interview
Results are presented from a study of Time Relaxation models for the Navier Stokes equations using the recently proposed EMAC (Energy-Momentum-Angular momentum Conservation) discretization of the non-linear term. Conservation properties, stability and error estimates will be shown for the fully discrete case, and these results are compared with the performance of the classical skew-symmetric non-linearity discretization. Numerical experiments for benchmark problems will show the advantage of EMAC over the skew symmetric formulation.
Please attend this talk for a Department Post-Doc position at 1:00 PM CDT (UT-5) via this Zoom link.
Meeting ID: 962 5570 6238
Passcode: interview
This year's Red Raider Minisymposium is hosted by Professors Hung Tran and Álvaro Pámpano.
Map to ceremony on campus