Teun van Nuland (02/2022 - 08/2022):
NSF CAREER Research Fellow.
Thomas Scheckter (06/2021 - 11/2022):
NSF CAREER Research Fellow.
Arup Chattopadhyay (08/2016 - 07/2017):
Fulbright-Nehru scholar.
Paper "Trace formulas for relative Schatten class perturbations" (w/ A. Skripka), Journal of Functional Analysis, 274 (2018), 3377-3410.
Next occupation: Assistant Professor at Indian Institute of Technology Guwahati.
Ph.D. Students:
Stephen Coweyuka (Fall 2020 -):
PhD dissertation.
Teun van Nuland (11/2019-11/2021):
Research project. PhD student at Radboud University Nijmegen, Netherlands.
Paper "Spectral shift for relative Schatten class perturbations" (w/ A. Skripka).
Roman Sverdlov (Fall 2017 - Spring 2019):
Paper "Berezin integral as a limit of Riemann sums" (w/ T. Scanlon), Journal of Mathematical Physics, 61, 063505 (2020).
Research talk at the International Symposium on Lattice Field Theory (2018) and respective paper
"Quantum field theory on a causal set", PoS LATTICE2018 (2019) 234.
Supported by NSF DMS-9215024, 1554456 CAREER.
Anastassiya Semenova (Fall 2017):
Paper "Comparison of split-step and Hamiltonian integration methods for simulation of the nonlinear Schrödinger
equation" (w/ S.A. Dyachenko, A.O. Korotkevich, P.M. Lushnikov), Journal of Computational Physics.
Supported by NSF DMS-1500704, 1554456 CAREER.
Bishnu Sedai (04/2014 - 07/2017):
PhD dissertation.
Paper "Trace formulas for perturbations of operators with Hilbert-Schmidt resolvents", Opuscula Mathematica, 38 (2018), no. 2, 253-260.
Educational talk at Albuquerque Math Teacher's Circle, at Bosque School, Albuquerque, NM, 2016. Supported by NSF DMS-1301717, 1500704, 1554456 CAREER.
Next occupation: Instructor at Virginia Polytechnic Institute and State University,
Assistant Professor at Minot State University.
Clément Coine (Spring 2017):
Research project. PhD student at Université de Franche-Comté visiting UNM.
Paper "Higher order S2-differentiability and application to Koplienko trace formula" (w/ C. Le Merdy, A. Skripka, F. Sukochev), Journal of Functional Analysis 276 (2019).
Travel supported by NSF DMS-1554456 CAREER.
Abdel Mohamed (Fall 2016):
PhD research project.
Supported by NSF DMS-1554456 CAREER.
B.S. Students:
Sarka E. Blahnik (08/2016 - 05/2017):
Undergraduate Honors thesis "Perturbations with zero spectral shift functions".
Research talk at the Society of Physics Students, UNM chapter, 2017.
Poster presentation at the SURE Research Symposium, UT Austin, 2018.
Outreach presentation at Wilson Middle School, Albuquerque, NM, 2017.
Supported by NSF DMS-1148801 MCTP, 1554456 CAREER.
Outstanding undergraduate math student award.
Next occupation: graduate student at Penn State.
Kirstin Harriger (03/2013 - 04/2014):
Undergraduate thesis "First and second order spectral shift functions for pairs of self-adjoint matrices".
Research talk at SUnMaRC, Phoenix, AZ, 2014. Outreach presentation at
South Valley Academy, Albuquerque, NM, 2014.
Supported by NSF DMS-1148801 MCTP.
Next occupation: graduate student at UNM.
Clément Coine, "Continuous linear and bilinear Schur multipliers and applications to perturbation theory", Université de Franche-Comté, France, PhD, 2017.
David Weirich, "Weighted inequalities for dyadic operators over spaces of homogeneous type",
UNM, PhD, 2017.
Fred Kaul, ''Jost functions for Jacobi operators with super-exponentially decaying parameters'',
UNM, MS, 2016.
Nuriye Atasever, ''The Hilbert transform as an average of dyadic shift operators'',
UNM, MS, 2014.
Yohei Tanaka, "A topological approach to spectral flow'', Flinders University, Australia, MS, 2014.
Undergraduate Honors Thesis Reader
Sam Mundy, ''The Riemann-Roch theorem for number fields'',
UNM, BS, 2015.
Juan Pablo Madrigal Cianci, ''Study of modifications of the option pricing theory: a practical approach'',
UNM, BS, 2015.
Miranda Mundt, ''Mixing in fluids'',
UNM, BS, 2015.
Academic Adviser
Academic adviser for about 6 undergraduate and 3 graduate mathematics majors, 08/2012 -.
Mentor at the Association for Women in Mathematics Mentor Network, 08/2011 - 05/2012.