Jun Kitagawa
Associate Professor, Department of Mathematics
Location: D212 Wells Hall
Phone: 517-432-7135
Email: jun@msu.edu
Website: http://www.math.msu.edu/~kitagawa
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Bio
My main interests are in fully nonlinear elliptic PDEs, particularly those of Monge-Ampère type. These equations arise in many contexts such as optimal transport, geometric optics, and irrotational fluid flow; currently my main focus is on regularity and partial regularity properties of solutions. I am also interested in numerics for Monge-Ampère type equations.
Courses
- MTH 317H: Honors Linear Algebra
Office Hours
- Monday: 12:30-1:30pm (Piazza), 2-3pm (in person)
- Wednesday: 2-3pm (in person)
Selected Publications
- "Pointwise estimates and regularity in geometric optics and other Generated Jacobian Equations" (with Nestor Guillen), Comm. Pure Appl. Math., 70 (2017), pp. 1146-1220. View Publication
- “Convergence of a newton algorithm for semi-discrete optimal transport.” (with Quentin Me´rigot and Boris Thibert). J. Eur. Math. Soc. (JEMS), 21(9), pp. 2603-1651, 2019. View Publication
- “Free discontinuities in optimal transport.” (with Robert McCann). Arch. Ration. Mech. Anal., 232(3):1505–1541, 2019 View Publication
- “Quantitative stability in the geometry of semi-discrete optimal transport.” (with Mohit Bansil). Int. Math. Res. Not. IMRN, no. 10, pp. 7354–7389, 2022. View Publication