I am always looking for skilled and motivated folks to work with. I typically work with students from the Department of Mathematics or the School of Computing at Utah. Typically I desire a foundation of knowledge that spans some subset of linear algebra, differential equations, numerical methods, proof-based analysis, and probability/statistics. If you are interested, please send me a CV and a short description of your interests.

Please note that if you are a prospective graduate student in Mathematics, intending to apply to the University of Utah, you should follow the standard admissions procedures.


Current group members


Name Position Institution Project/thesis focus
Filip Belik

(Joint w/ Christel Hohenegger)

 PhD, Mathematics
Expected 2027 		University of Utah Numerical methods for PDEs, reduced order modeling
Haoyu Chen

(Joint w/ Anna Little)

 PhD, Mathematics
Expected 2026 		University of Utah Spectral clustering, path-based metrics
John Turnage PhD, Mathematics
Expected 2027 		University of Utah Operator learning and approximation
Yinqian Yu

(Joint w/ Yekaterina Epshteyn)

 PhD, Mathematics
Expected 2028 		University of Utah Numerical methods for uncertainty quantification in hyperbolic PDEs


Group alumni


Name Post-degree position Degree/Position Institution Project/thesis focus
Debdeep Bhattacharya

(Jointly advised w/ Ken Golden, Bao Wang)

 Lecturer, Grinnell College Postdoctoral scholar, Department of Mathematics
2023 - 2024 		University of Utah uncertainty in peridynamics
Jarom Hogue

(Jointly advised w/ Mike Kirby)

 Postdoctoral scholar, SCI Institute
2021 - 2023 		University of Utah deep learning, large-scale numerical linear algebra
Vahid Keshavarzzadeh

(Jointly advised w/ Mike Kirby)

 Machine Learning Scientist, General Motors Postdoctoral scholar, SCI Institute
2017 - 2022 		University of Utah computational mechanics, high-dimensional quadrature, uncertainty quantification, multifidelity algorithms
Ehsan Adeli

(Jointly advised w/ Mike Kirby)

 Postdoctoral scholar, SCI Institute
2020 - 2021 		University of Utah deep learning, large-scale numerical linear algebra
Mani Razi

(Jointly advised w/ Mike Kirby)

 Senior quantitative risk analyst, USAA Postdoctoral scholar, SCI Institute
2016 - 2019 		University of Utah multifidelity methods, uncertainty quantification
Xuesong Bai

(Joint w/ Elena Cherkaev)

 Postdoctoral scholar, Brandeis University PhD, Mathematics
2022 		University of Utah fractional PDEs, inverse problems, optimization, numerical algorithms
Yiming Xu

(Joint w/ Tom Alberts)

 Research analyst, Wells Fargo PhD, Mathematics
2022 		University of Utah high-dimensional probability and approximation, statistical learning, multifidelity methods
Ryleigh Moore Research engineer, The Mathworks PhD, Mathematics
2022 		University of Utah numerical methods for partial and stochastic differential equations
Zexin Liu Algorithms Engineer; Quantaeye, Inc. PhD, Mathematics
2022 		University of Utah uncertainty quantification, cardiac biomedical applications, orthogonal polynomials
Dihan Dai

(Joint w/ Yekaterina Epshteyn)

 Applied Scientist, Amazon PhD, Mathematics
2022 		University of Utah Numerical methods for hyperbolic equations under uncertainty, structure-preserving function approximation via optimization
Vidhi Zala

(Joint w/ Mike Kirby, formal advisor)

 Intel Corporation PhD, Computing
2021 		University of Utah convex optimization, structure-preserving function approximation, numerical methods for PDEs
Erin Linebarger Research scientist, Neya Systems PhD, Mathematics
2020 		University of Utah robotics path planning and decision-making
Jiahua Jiang

(Joint w/ Yanlai Chen)

 Postdoctoral scholar, Virginia Tech PhD, Engineering and Applied Science
2018 		University of Massachusetts Dartmouth reduced order modeling, uncertainty quantification
Preston Malen Masters, Mathematics
2023 		University of Utah Topological data analysis for ECG signals
Guang Yang

(Research project)

 BS, Mathematics
2024 		University of Utah Randomized numerical linear algebra
Zhenzhao Tu

(Research project; transferred to U Wisconsin)

 BS, Mathematics
2022 		University of Utah Dimension reduction
Jacia Abplanalp

(Comp math capstone project)

 Data analysis internship at Zions Bank BS, Mathematics
2021 		University of Utah graph spectral clustering
Parth Rastogi

(Research project)

 BS, Mathematics
2021 		University of Utah Natural language processing
Vignesh Iyer

(Comp math capstone project)

 Graduate student at UC Irvine BS, Mathematics
2021 		University of Utah numerical methods for spatial fractional PDEs
Gurpartap Bhatti

(Comp math capstone project)

 Software engineer, Navitaire BS, Mathematics
2018 		University of Utah sparse approximation, dynamical systems