Curriculum Vitae

A PDF is available here, though it is likely out of date.

Employment

Visiting Scholar Positions:

Education

Publications

  1. Free monotone transport without a trace; Comm. Math. Phys. 334 (2015), no. 3, 1245-1298.
  2. Free transport for finite depth subfactor planar algebras; J. Funct. Anal. 268 (2015), no. 9, 2586–2620.
  3. Combinatorics of bi-freeness with amalgamation, with I. Charlesworth and P. Skoufranis; Comm. Math. Phys. 338 (2015), no. 2, 801–847.
  4. On two-faced families of non-commutative random variables, with I. Charlesworth and P. Skoufranis; Canad. J. Math. 67 (2016), no. 6, 1290-1325.
  5. An application of free transport to mixed $q$-Gaussian algebras, with Q. Zeng; Proc. Amer. Math. Soc., 144 (2016), no. 10, 4357-4366.
  6. On finite free Fisher information for eigenvectors of a modular operator; J. Funct. Anal. 273 (2017), no. 7, 2292-2352
  7. Free Stein kernels and an improvement of the free logarithmic Sobolev inequality, with M. Fathi; Adv. Math., 317 (2017), no. 7, 193-223.
  8. Free transport for interpolated free group factors, with M. Hartglass; J. Funct. Anal. 274 (2018), no. 1, 222-251
  9. Free montone transport for infinite variables, with Q. Zeng; Int. Math. Res. Not. IMRN (2018), no. 17, 5486–5535.
  10. Non-tracial free graph algebras, with M. Hartglass; preprint available at arXiv:1810.01922 (2018)
  11. 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)
  12. Free Stein Irregularity and Dimension, with I. Charlesworth; preprint available at arXiv:1902.02379 (2019)
  13. 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:

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