Curriculum Vitae
A PDF is available here, though it is likely out of date.
Employment
- Assistant Professor, Michigan State University (2019 - Present)
- Jones Assistant Professor with Vaughan F. R. Jones, Vanderbilt University (2018 - 2019)
- NSF Postdoctoral Fellow with Dan-Virgil Voiculescu, University of California, Berkeley (2015 - 2018)
Visiting Scholar Positions:
- Institute of Pure and Applied Mathematics, Long program on Quantitative Linear Algebra, (May - June 2018)
- Hausdorff Research Institute for Mathematics, Trimester program on von Neumann algebras, (May - August 2016)
Education
- PhD in Mathematics, under Dimitri Shlyakhtenko, University of California, Los Angeles, (June 2015)
- BS in Mathematics, summa cum laude with a minor in Physics, University of Illinois at Urbana-Champaign, (May 2010)
Publications
- Free monotone transport without a trace; Comm. Math. Phys. 334 (2015), no. 3, 1245-1298.
- Free transport for finite depth subfactor planar algebras; J. Funct. Anal. 268 (2015), no. 9, 2586–2620.
- Combinatorics of bi-freeness with amalgamation, with I. Charlesworth and P. Skoufranis; Comm. Math. Phys. 338 (2015), no. 2, 801–847.
- On two-faced families of non-commutative random variables, with I. Charlesworth and P. Skoufranis; Canad. J. Math. 67 (2016), no. 6, 1290-1325.
- An application of free transport to mixed $q$-Gaussian algebras, with Q. Zeng; Proc. Amer. Math. Soc., 144 (2016), no. 10, 4357-4366.
- On finite free Fisher information for eigenvectors of a modular operator; J. Funct. Anal. 273 (2017), no. 7, 2292-2352
- Free Stein kernels and an improvement of the free logarithmic Sobolev inequality, with M. Fathi; Adv. Math., 317 (2017), no. 7, 193-223.
- Free transport for interpolated free group factors, with M. Hartglass; J. Funct. Anal. 274 (2018), no. 1, 222-251
- Free montone transport for infinite variables, with Q. Zeng; Int. Math. Res. Not. IMRN (2018), no. 17, 5486–5535.
- Non-tracial free graph algebras, with M. Hartglass; preprint available at arXiv:1810.01922 (2018)
- Free products of finite-dimensional and other von Neumann algebras in terms of free Araki–Woods factors, with M. Hartglass; preprint available at arXiv:1810.01924 (2018)
- Free Stein Irregularity and Dimension, with I. Charlesworth; preprint available at arXiv:1902.02379 (2019)
- A random matrix approach to absorption in free products, with B. Hayes, D. Jekel, and T. Sinclair; preprint available at arXiv:1912.11569 (2019)
Grants
- Groundwork for Operator Algebras Lecture Series 2020 NSF DMS-2000131 (2020-2021)
- Non-Tracial Derivations and Distributions NSF DMS-1856683 (2019 - 2022)
- AMS-Simons Travel Grant (2018-2019)
- Postdoctoral Research Fellowship NSF DMS-1502822 (2015 - 2018)
Honors and Awards
- Distinguished Teaching Award, MUSA of University of California, Berkeley (June 2018)
- Pacific Journal of Mathematics Dissertation Prize, Pacific Journal of Mathematics (June 2015)
- Dissertation Year Fellowship, University of California, Los Angeles (May 2014)
- NSF Research and Training Grant Fellowship, University of California, Los Angeles, Department of Mathematics (August 2010)
- H. Roy Brahana Prize, University of Illinois at Urbana-Champaign, Department of Mathematics (May 2010)
- Emily Mann Peck Scholarship, University of Illinois at Urbana-Champaign, Department of Mathematics (May 2009)
- Elizabeth R. Bennett Scholarship in Mathematics, University of Illinois at Urbana-Champaign, Department of Mathematics (May 2008)
- Robert W. Rogers Scholarship, University of Illinois at Urbana-Champaign (August 2007)
- Robert C. Byrd Scholar, University of Illinois at Urbana-Champaign (August 2007)
Teaching Experience
Michigan State University:
- Math 317H - Honors Linear Algebra (Fall 2021)
- Math 828 - Real Analysis I (Fall 2021)
- Math 829 - Complex Analysis I (Spring 2021)
- Math 461 - Metric and Topological Spaces (Fall 2020)
- Math 890 - Readings in Mathematics: Von Neumann Algebras (Spring 2020)
- Math 920 - Functional Analysis (Spring 2020)
- Math 317H - Honors Linear Algebra (Fall 2019)
Vanderbilt University:
- Math 2410 - Methods of Linear Algebra (Spring 2019)
- Math 1200 - Single Variable Calculus I (Fall 2018)
University of California, Berkeley:
- Math 198 - Directed Group Study on Random Matrices (Spring 2018)
- Math 105 - Second Course in Analysis (Spring 2018)
- Math 104 - Introduction to Analysis (Fall 2017)
- Math 209 - Von Neumann Algebras (Spring 2017)
- Math H104 - Honors Introduction to Analysis (Fall 2016)
University of California, Los Angeles:
- Course Instructor:
- Math 32B - Calculus of Several Variables II (Spring 2014)
- Teaching Assistant:
- Math 3B - Calculus for Life Science Students (Summer 2014)
- Math 31A - Differential and Integral Calculus (Summer 2012)
- Math 131A - Analysis (Spring 2012)
- Math 32A - Calculus of Several Variables I (Spring 2012)
- Math 31B - Integration and Infinite Series (Winter 2012)
- Math 32B - Calculus of Several Variables II (Winter 2012)
- Math 31A - Differential and Integral Calculus (Fall 2011)
- Math 32B - Calculus of Several Variables II (Fall 2011)
Presentations
Invited Presentations:
- Subfactor Seminar (virtual), Vanderbilt University (February 2021)
- Colloquium, Santa Clara University (March 2020)
- Probabilistic Operator Algebra Seminar, University of California, Berkeley (March 2020)
- Operator Theory Seminar, University of Iowa (February 2020)
- Analysis Commons, University of Virginia (February 2020)
- Joint Mathematics Meetings, AMS Special Session on C*-Algebras, Dynamical Systems and Applications, Denver (January 2020)
- CMS Winter Meeting, Operator Algebras Session, Toronto, Canada (December 2019)
- Subfactor Seminar, Vanderbilt University (November 2019)
- East Coast Operator Algebras Seminar, The Ohio State University (October 2019)
- Wabash Miniconference, Indiana University–Purdue University Indianapolis (September 2019)
- Workshop on Applications to Random Matrices and Free Probability of Free Noncommutative Functions, The Fields Institute for Research in Mathematical Sciences (June 2019)
- Great Plains Operator Theory Symposium, Texas A&M University (May 2019)
- Mathematical Physics and Gauge Theory Seminar, Michigan State University (March 2019)
- New Developments in Free Probability and Applications, Centre de Recherches Mathématiques (March 2019)
- Analysis Commons, University of Virginia (November 2018)
- West Coast Operator Algebras Seminar, Seattle University (October 2018)
- Functional Analysis Seminar, University of California, San Diego (June 2018)
- Subfactor Seminar, Vanderbilt University (March 2018)
- Functional Analysis Seminar, University of California, Los Angeles (February 2018)
- Colloquium, Michigan State University (February 2018)
- AMS Fall Western Sectional Meeting, Special Session on Advances in Operator Algebras, University of California, Riverside (November 2017)
- Operator Theory Seminar, University of Iowa (October 2017)
- Wabash Miniconference, Indiana University–Purdue University Indianapolis (September 2017)
- Departmental Colloquium, Indiana University (September 2017)
- Mathematical Congress of the Americas, Montreal (July 2017)
- Scientific Session on Free Probability and its Applications
- Scientific Session on Von Neumann Algebras and their Applications
- Statistics and Probability Seminar, Boston University (April 2017)
- Noncommutative Geometry Seminar, The Ohio State University (March 2017)
- Joint Mathematics Meetings, AMS Special Session on Advances in Operator Algebras, Atlanta (January 2017)
- Analytic versus Combinatorial in Free Probability, Banff International Research Station (December 2016)
- Functional Analysis Seminar, University of California, Los Angeles (November 2016)
- Subfactor Seminar, Vanderbilt University (October 2016)
- C*-Algebras Workshop, Mathematisches Forschungsinstitut Oberwolfach (August 2016)
- Oberseminar zur Freien Wahrscheinlichkeit, Universität des Saarlandes (June 2016)
- NCGOA Spring Institute, Hausdorff Research Institute for Mathematics in Bonn, Germany (May 2016)
- Probabilistic Operator Algebra Seminar, University of California, Berkeley (February 2016)
- Joint Mathematics Meetings, AMS Special Session on Classification Problems in Operator Algebras, Seattle (January 2016)
- Operator Algebras Seminar, Purdue University (November 2015)
- West Coast Operator Algebras Seminar, University of California, San Diego (October 2015)
- AMS Central Fall Sectional Meeting, Special Session on Recent Advances in Non-Commutative Analysis, Loyola University Chicago (October 2015)
- Free Probability Theory Workshop, Mathematisches Forschungsinstitut Oberwolfach (June 2015)
- Extended Probabilistic Operator Algebras Seminar, University of California, Berkeley (May 2015)
- Free (Stochastic) Analysis, Universität des Saarlandes (March 2015)
- Joint Mathematics Meetings, AMS Special Session on Classification Problems in Operator Algebras, San Antonio (January 2015)
- Free Probability Seminar, Texas A&M University (November 2014)
- West Coast Operator Algebras Seminar, University of Denver (November 2014)
- Subfactor Seminar, Vanderbilt University (October 2014)
- Workshop on von Neumann Algebras and Ergodic Theory, University of California, Los Angeles (September 2014)
- AMS Central Fall Sectional Meeting, Special Session on von Neumann Algebras and Related Fields, University of Wisconsin-Eau Claire (September 2014)
- Summer Informal Regional Functional Analysis Seminar – Free Probability Concentration Week, Texas A&M University (July 2014)
- Free Probability and the Large N Limit IV, University of California, Berkeley (March 2014)
- AMS Southeastern Spring Sectional Meeting, Special Session on von Neumann Algebras and Free Probability, University of Tennessee, Knoxville (March 2014)
- Probabilistic Operator Algebra Seminar, University of California, Berkeley (February 2014)
- Functional Analysis Seminar, University of California, Los Angeles (October 2013)
Contributed Presentations:
- The 48th Canadian Operator Symposium (virtual), The Fields Institute for Research in Mathematical Sciences (May 2020)
- Free Probability Theory Workshop, Mathematisches Forschungsinstitut Oberwolfach (December 2018)
- Young Mathematicians in C*-Algebras, Katholieke Universiteit Leuven (August 2018)
- IPAM Quantitative Linear Algebra Culminating Workshop, UCLA Lake Arrowhead Conference Center (June 2018)
- Cal Day, University of California, Berkeley (April 2018)
- Dyson–Schwinger Equations, Topological Expansions, and Random Matrices, University of Columbia (August 2017)
- Great Plains Operator Theory Symposium, Texas Christian University (May 2017)
- Cal Day, University of California, Berkeley (April 2017)
- Free Probability and the Large N Limit V, University of California, Berkeley (March 2016)
- Great Plains Operator Theory Symposium, Kansas State University (May 2014)
- Functional Analysis Seminar, University of California, Los Angeles (February 2014)
- Optimal Transport and Applications Summer School, UCLA Lake Arrowhead Conference Center (October 2013)
Other Conferences Attended:
- Early Career Workshop in Operator Theory & Operator Algebras (virtual), Indiana University (February 2021)
- IPAM Workshop on Actions of Tensor Categories on C*-algebras (virtual), University of California, Los Angeles (January 2021)
- Joint Mathematics Meetings (virtual), Washington D.C. (January 2021)
- Brazos Analysis Seminar (virtual), Texas A&M University (November 2020)
- Field of Dreams Conference (virtual), Math Alliance (November 2020)
- Virginia Operator Theory and Complex Analysis Meeting (virtual), Washington & Lee University (October 2020)
- Subfactors and Applications Workshop, Mathematisches Forschungsinstitut Oberwolfach (October 2019)
- Classification Problems in von Neumann Algebras, Banff International Research Station (September 2019)
- C*-Algebras Workshop, Mathematisches Forschungsinstitut Oberwolfach (August 2019)
- Summer Research Program on Quantum Symmetries, The Ohio State University (June 2019)
- NCGOA Spring Institute, Vanderbilt University (May 2019)
- International Congress of Mathematicians, Rio de Janeiro, Brazil (August 2018)
- Random Matrices, Park City Mathematics Institute (June 2017)
- Ergodic Theory and Operator Algebras, Texas A&M University (June 2017)
- NCGOA Spring Institute, Vanderbilt University (May 2017)
- East Coast Operator Algebras Seminar, Loyola University Chicago (October 2016)
- NCGOA Spring Institute, Vanderbilt University (May 2015)
- Kadison-Singer, Interlacing Polynomials, and Beyond, Mathematical Sciences Research Institute (March 2015)
- Subfactor Theory in Mathematics and Physics, Maui, Hawaii (July 2014)
- Subfactors and Fusion Categories, Banff International Research Station (April 2014)
- Great Plains Operator Theory Symposium, University of California, Berkeley (May 2013)
- Workshop on von Neumann Algebras and Ergodic Theory, University of California, Los Angeles (May 2012)
Service
Conference Organizer:
- East Coast Operator Algebras Symposium. October 17-18, 2020 at the University of Virginia (held virtually). Co-organized with Ben Hayes.
- Groundwork for Operator Algebras Lecture Series. June 29 - July 19, 2020 at Michigan State University (held virtually). Co-organized with Kristin Courtney, Rolando de Santiago, and Elizabeth Gillaspy.
- Joint Mathematics Meetings AMS Special Session: Advances in Operator Algebras. January 17, 2020 in Denver, Colorado. Co-organized with Ian Charlesworth, Sarah Reznikoff, and Lauren Ruth.
- Shanks Workshop: Free Probability and Applications. September 15-16, 2018 at Vanderbilt University. Co-organized with Dietmar Bisch.
- Joint Mathematics Meetings AMS Special Session: Advances in Operator Algebras. January 12-13, 2018 in San Diego, California. Co-organized with Marcel Bischoff, Ian Charlesworth, and Sarah Reznikoff.
- Extended Probabilistic Operator Algebras Seminar. November 10-12, 2017 at UC Berkeley. Co-organized with Dimitri Shlyakhtenko and Dan-Virgil Voiculescu.
- Free Probability and the Large N Limit, V. March 22-26, 2016 at UC Berkeley. Co-organized with Dimitri Shlyakhtenko and Dan-Virgil Voiculescu.
Journal Referee:
- Advances in Applied Mathematics
- Advances in Mathematics
- Analysis & PDE
- AMS Mathematical Reviews
- Canadian Journal of Mathematics
- Communications in Mathematical Physics
- Houston Journal of Mathematics
- International Journal of Mathematics
- International Mathematical Research Notices
- Journal of Functional Analysis
- Journal of the London Mathematical Society
- Proceedings A of the Royal Society of Edinburgh
- Proceedings of the AMS
- Studia Mathematica