- Diffusion maps for group-invariant manifolds

with P. Hoyos

Available on arXiv

- Moment estimation for nonparametric mixture models through implicit tensor decomposition

with Y. Zhang

Available on arXiv

- Snapshot of algebraic vision

with K. Kohn

Available on arXiv

- The effect of smooth parametrizations on nonconvex optimization landscapes

with E. Levin, N. Boumal

Available on arXiv

- Scalable symmetric Tucker tensor decomposition

with R. Jin, T. Kolda, R. Ward

Available on arXiv

- Tensor moments of Gaussian mixture models: theory and applications

with J. Pereira, T. Kolda

Available on arXiv (code)

- Subspace power method for symmetric tensor decomposition and generalized PCA

with J. Pereira

Available on arXiv (code)

- Moment varieties for mixtures of products

with Y. Alexandr and B. Sturmfels

- Autocorrelation analysis for cryo-EM with sparsity constraints: improved sample complexity and projection-based algorithms

with T. Bendory, Y. Khoo, O. Mickelin, A. Singer

- Estimation under group actions: recovering orbits from invariants

with A. Bandeira, B. Blum-Smith, A. Perry, J. Weed, A. Wein

- On the instability of relative pose estimation and RANSAC's role

with H. Fan, B. Kimia

- Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy

with E. Levin, N. Boumal

- Landscape analysis of an improved power method for tensor decomposition

with T. Klock, J. Pereira

- Manifold learning with arbitrary norms

with A. Moscovich, N. Zelesko, A. Singer

- Earthmover-based manifold learning for analyzing molecular conformation spaces

with N. Zelesko, A. Moscovich, A. Singer

- Method of moments for 3-D single particle

with N. Sharon, Y. Khoo, B. Landa, A. Singer

- On the expressive power of deep polynomial neural networks

with M. Trager, J. Bruna

- 3D

with E. Levin, T. Bendory, N. Boumal, A. Singer

- Algebraic geometry for computer vision

- Numerical implicitization

with J. Chen

- Distortion varieties

with Z. Kukelova, T. Pajdla, B. Sturmfels

- The Chow form of the essential variety in computer vision

with G. Fløystad, G. Ottaviani

- Minimal problems for the calibrated trifocal variety

- A clever elimination strategy for efficient minimal solvers

with Z. Kukelova, B. Sturmfels, T. Pajdla

- Rigid multiview varieties

with M. Joswig, B. Sturmfels, A. Wagner

- Hadamard products of linear spaces

with C. Bocci, E. Carlini

Spring 2023: Foundational techniques of machine learning and data sciences, instructor

Spring 2022: Scientific computation in numerical analysis, instructor

Fall 2021: Geometric methods in data science, instructor

Spring 2021: Real analysis I, instructor

Spring 2017: Introduction to optimization, consultant

May 2016:

Spring 2016: Tropical geometry, grader and guest lecturer

Spring 2016: Analytic geometry and calculus, TA

Fall 2015: Methods of mathematics: calculus, statistics and combinatorics, TA

Spring 2015: Methods of mathematics: calculus, statistics and combinatorics, TA

Fall 2014: Calculus, TA

Julia Lindberg: Bing Instructor, Math Dept, January 2023-present

João M. Pereira: Postdoc, Oden Institute, January 2021-May 2022, co-mentored with Rachel Ward (next: assistant professor at IMPA, Brazil)

Paulina Hoyos: Math PhD Student, September 2022-present

Elzbieta Polak: Math PhD Student, July 2021-present

George Torres: Math PhD Student, June 2022-present, co-advised with Ngoc Tran

Yifan Zhang: CSEM PhD Student, January 2021-present

Bronson Zhou: Math Undergraduate Researcher, 2021-2022 (next: Ph.D. student at Yale)

January 2024: Topical Workshop on Higher-Order Statistics and Symmetric Tensors (ICERM)

December 2023: Reunion on Tensor Methods (IPAM)

December 2023: Bayesian Statistics and Statistical Learning Workshop (IMSI)

September 2023: Tutorial Lecture (IMSI)

September 2023: Applied Inverse Problems Conference (Göttingen)

September 2023: BIRS Workshop (Banff)

August 2023: ICIAM 2023 Minisymposium (Tokyo)

August 2023: Joint Statistical Meetings (Toronto)

July 2023: SIAM Conference on Applied Algebraic Geometry (Eindhoven)

June 2023: SIAM Conference on Optimization (Seattle)

May 2023: Casa Matemática Oaxaca Workshop (Mexico)

May 2023: Oden Institute Seminar (UT Austin)

February 2023: SIAM Conference on Computational Science and Engineering (Amsterdam)

February 2023, virtual: Topics in Algebra, Topology, Etc., Research Seminar (Boise)

January 2023: Alan Turing / Oden Institutes Workshop (London)

January 2023: Visit D. Edidin and Colloquium (Missouri)

January 2023: JMM Special Session (Boston)

December 2022: Mathematics Department Colloquium (UT Austin)

November 2022: Applied and Computational Mathematics Colloquium (Princeton)

November 2022: Instituto Nacional de Matemática Pura e Aplicada (Brazil)

October 2022, virtual: Mathematical Machine Learning Seminar (MPI MIS + UCLA)

September 2022, virtual: SIAM Conference on Mathematics of Data Science (San Diego)

September 2022: ML + X Seminar (IFML, UT Austin)

September 2022: PACM, Princeton University

Fall 2022, program fellow: Program on Computational Microscopy (IPAM)

Summer 2022: Combinatorial, Computational, and Applied Algebraic Geometry (Seattle)

May 2022: Mathematical and Computational Challenges in Cryogenic Electron Microscopy (UBC)

March 2022, virtual: AMS Special Session (Tufts)

February 2022: IMA Data Science Seminar (U Minnesota)

January 2021, virtual: Algebraic Geometry Seminar (UC Davis)

December 2021, virtual: NeurIPS 2021

November 2021, virtual: Applied Mathematics Seminar (Yale)

November 2021: SIAM TX-LA Minisymposium (Rio Grande Valley)

October 2021, virtual: BIRS-CMO Workshop on Geometry & Learning from Data (Oaxaca)

October 2021: Applied Mathematics Colloquium (U Chicago)

August 2021: PACM, Princeton University

August 2021, virtual: SIAM Conference on Applied Algebraic Geometry (Texas A&M)

June 2021, virtual: Data Science Seminar (Oxford)

May 2021, virtual: Tensors Seminar Series (IPAM)

Spring 2021, program fellow, virtual: Program on Tensor Methods and Emerging Applications to the Physical and Data Sciences (IPAM)

March 2021, virtual: Applied and Computational Mathematics Seminar (National University of Singapore)

March 2021, virtual: SIAM Conference on Computational Science and Engineering (Fort Worth)

January 2021, virtual: Tsinghua Sanya International Mathematics Forum

November 2020, virtual: Geometry Seminar (Texas A&M)

November 2020, virtual: Babuška Forum (Oden Institute, UT Austin)

November 2020, virtual: DeepMath 2020

October 2020, virtual: SIAM Annual Meeting, TX-LA Section (Texas A&M)

September 2020, virtual: Algebraic Statistics Online Seminar

May 2020, postponed: International Conference on Approximation Theory and Beyond (Vanderbilt)

May - June 2020, virtual: SIAM Conference on Mathematics of Data Science (Cincinnati)

March 2020: School of Mathematics Colloquium (Georgia Tech)

February 2020: Applied Mathematics Division Colloquium (Brown)

February 2020: Mathematics Department Colloquium (NYU Courant)

February 2020: Mathematics Department Colloquium (Madison)

January 2020: Mathematics Department Colloquium (Duke)

January 2020: Mathematics Department Colloquium (Rutgers)

January 2020: Mathematics Department Colloquium (Oden Institute, UT Austin)

January 2020: Mathematics Department Colloquium (Toronto)

December 2019: NeurIPS 2019 (Vancouver)

December 2019: Joint Applied Mathematics/Statistics & Data Science Seminar (Yale)

November 2019: Novel Medical Imaging Workshop (Texas A&M)

November 2019: Linear Algebra Seminar (Auburn)

October 2019: Computational Harmonic Analysis and Data Science Workshop (Oaxaca)

October 2019: Algebra Seminar (U Washington)

October 2019: SIAM Pacific Northwest Section Special Session (Seattle)

September 2019: AMS Special Session (Madison)

August 2019: Big Data Conference (Harvard)

August 2019: Computational Cryo-EM Workshop (Center for Computational Mathematics, Flatiron)

July 2019: SIAM Algebraic Geometry Conference (Bern)

May 2019: Computational and Applied Mathematics Colloquium (UChicago)

May 2019: Applied Algebra Seminar (Madison)

April 2019: Algebra Seminar (Georgia Tech)

March 2019: AMS Special Session (Auburn)

January 2019: Algebraic Vision Research Cluster (ICERM)

December 2018: Symbolic-Numeric Computing Seminar (CUNY)

November 2018: Mathematics, Information and Computation Seminar (Center for Data Science, Courant)

November 2018: Nonlinear Algebra Seminar (ICERM)

October 2018: Math and Data Working Group (Center for Data Science, Courant)

October 2018: AMS Special Session (Ann Arbor)

October 2018: Shape Analysis: Euclidean, Discrete and Algebraic Geometric Methods (Schloss Dagstuhl)

October 2018: Joint KMS-DMV Mathematics Conference (Seoul)

August 2018: Numerical Computing in Algebraic Geometry (MPI Leipzig)

June 2018: Optimization, Complexity and Invariant Theory Workshop (IAS)

March 2018: SIAM Southeastern Atlantic Sectional Conference (UNC)

December 2017: Mathematics, Information and Computation Seminar (Center for Data Science, Courant)

December 2017: Lecture Series on Algebraic Vision (Seoul National University)

August 2017: Summer School on Random Matrices (Columbia U)

August 2017: SIAM Algebraic Geometry Conference (Georgia Tech)

July 2017: Minicourse on Algebraic Vision (Tübingen)

June - July 2017: Center for Machine Perception, Czech Technical University in Prague

June 2017: Computer Vision and Machine Learning Seminar (INRIA-Paris)

May 2017: A View Toward Algebraic Geometry, Eisenbud Birthday Conference (Martha's Vineyard)

April 2017: AMS Special Session (Washington State)

April 2017: Experimental Mathematics Seminar (Rutgers)

March, April 2017: Simons Collaboration Meetings on Algorithms and Geometry (New York)

February 2017: Mathematics Department Colloquium (Saskatchewan)

October - December 2016: Max Planck Institute for Mathematics in the Sciences (Leipzig)

November 2016: Algebraic Geometry Seminar (Chemnitz)

November 2016: Diskrete Mathematik, Geometrie und Optimierung Seminar (Frankfurt)

November 2016: AMS Special Session (NCSU)

October 2016: Computing & Mathematical Sciences Seminar (Caltech)

October 2016: Czech Workshop on Applied Mathematics in Engineering (Prague)

September 2016: Algebra Seminar (GeorgiaTech)

May - September 2016: Laboratory for Analysis and Architecture of Systems (Toulouse)

May 2016: Workshop on Software and Applications of Numerical Algebraic Geometry (Notre Dame)

May 2016: AIM Workshop on Algebraic Vision (San Jose)

April 2016: Applied Algebra Days 3 (Madison)

April 2016: Algebraic Geometry Seminar (UChicago)

April 2016: AMS Special Session (Utah)

January 2016: Joint Mathematics Meetings (Seattle)

October 2015: Western Algebraic Geometry Symposium (Seattle)

October 2015: London Algebra Colloquium (Queen Mary)

October 2015: Algebraic Vision (TU Berlin)

August 2015: SIAM Algebraic Geometry Conference (Daejeon)

June 2015: Effective Methods in Algebraic Geometry (Trento)

May 2015: Workshop on Nonlinear Algebra (Berlin)

May 2015: Tropical Doener Workshop (FU Berlin)

May 2015: Department of Mathematics, University of Oslo

October 2014: Western Algebraic Geometry Symposium (Idaho)

July - August 2014: Modern Applications of Representation Theory (UChicago)

June 2014: Macaulay2 Summer School and Conference (UIUC)

June 2014: Computational Nonlinear Algebra (ICERM)

Department of Mathematics, PMA 12.154

Oden Institute for Computational Engineering and Sciences, POB 3.434

University of Texas at Austin

jkileel@math.utexas.edu