Jeffrey Streets

Professor, Department of Mathematics, University of California, Irvine

Biography

Jeffrey Streets is a Professor in the Department of Mathematics at the University of California, Irvine, where he has been a faculty member since 2011. Streets earned his Ph.D. in Mathematics from Duke University in 2007, with a thesis on Ricci Yang-Mills flow under the advisement of Professor Mark Stern. Prior to joining UCI, he served as an Instructor in the Department of Mathematics at Princeton University from 2007 to 2011.

Streets' research specializes in geometric analysis, with significant contributions to the study of geometric flows such as the Ricci flow and pluriclosed flow. He has published numerous articles in prestigious journals, including Communications in Analysis and Geometry, the Journal of the European Mathematical Society, and Advances in Mathematics. Streets has been awarded several grants from the National Science Foundation for his research, including projects on geometric flows and their applications. He was named a Simons Fellow in Mathematics for 2022-2023 and was a Sloan Research Fellow from 2013 to 2015.

At UCI, Streets teaches various courses in mathematics and has been recognized for his mentorship, receiving the Mathematics Department Faculty Mentor Award in 2020-21. He has supervised several Ph.D. students, guiding them through their doctoral research. Streets is actively involved in the academic community, having co-organized numerous seminars and workshops, including the Southern California Geometric Analysis Seminar. He also participates in outreach activities, such as speaking at mathematics clubs and mentoring programs.

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Degrees

Ph.D. in Mathematics, Duke University, 2007
M.A. in Mathematics, Duke University, 2003
B.A. in Mathematics, The University of Chicago, 2002

Distinctions

Simons Fellow in Mathematics, 2022
Sloan Research Fellow, 2013
UCI Mathematics Department Faculty Mentor Award, 2020

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Areas of Expertise

Geometric Analysis

Recent Publications

Kopfer, E., Streets, J., “Optimal transport and generalized Ricci flow”, SIGMA, vol. 20, pp. 003, 2024.
Garcia-Fernandez, M., Jordan, J., Streets, J., “Non-Kähler Calabi-Yau geometry and pluriclosed flow”, J. Math. Pures. Appl., vol. 177, pp. 329-367, 2023.
Fu, X., Naber, A., Streets, J., “Codimension four regularity of generalized Einstein structures”, Math. Ann., vol. 387, pp. 2001-2059, 2023.
Streets, J., “Scalar curvature, entropy, and generalized Ricci flow”, IMRN, vol. 2023, no. 11, pp. 9481–9510, 2023.
Kopfer, E., Streets, J., “Bochner formulas, functional inequalities and generalized Ricci flow”, J. Func. Anal., vol. 284, no. 10, 2023.
Streets, J., Tian, G., “Kähler stability of symplectic forms”, J. Geom. Anal., 2023.
Gindi, S., Streets, J., “Four-dimensional generalized Ricci flows with nilpotent symmetry”, Comm. Contemp. Math., vol. 25, no. 07, pp. 2250025, 2023.
Apostolov, V., Streets, J., Ustinovskiy, Y., “Variational structure and uniqueness of generalized Kähler-Ricci solitons”, Peking Math. Journal, vol. 6, pp. 307-351, 2023.
Apostolov, V., Streets, J., Ustinovskiy, Y., “The Riemannian and symplectic geometry of the space of generalized Kähler structures”, Comm. Math. Helv., 2023.
Apostolov, V., Fu, X., Streets, J., Ustinovskiy, Y., “The generalized Kähler Calabi-Yau problem”, 2023.
Strickland-Constable, C., Streets, J., Valach, F., “Ricci flow on Courant algebroids”, 2023.
Apostolov, V., Streets, J., Ustinovskiy, Y., “Formal structure of scalar curvature in generalized Kähler geometry”, 2023.
Streets, J., Ustinovskiy, Y., “The Gibbons-Hawking ansatz in generalized Kähler geometry”, Comm. Math. Phys., vol. 391, pp. 707-778, 2022.
Streets, J., “Ricci-Yang-Mills flow on surfaces and pluriclosed flow on elliptic fibrations”, Adv. Math., vol. 394, pp. 108127, 2022.
Apostolov, V., Streets, J., Ustinovskiy, Y., “Generalized Kähler-Ricci flow on toric Fano varieties”, Trans. AMS., vol. 375, pp. 4369-4409, 2022.
Lee, M.C., Streets, J., “Complex manifolds with negative curvature operator”, IMRN, vol. 2021, no. 24, pp. 18520-18528, 2021.
Streets, J., Ustinovskiy, Y., “Classification of generalized Kähler-Ricci solitons on complex surfaces”, Comm. Pure. Appl. Math., vol. LXXIV, pp. 1896-1914, 2021.
Apostolov, V., Streets, J., “The nondegenerate generalized Kähler Calabi-Yau problem”, J. reine angew. Math., vol. 777, pp. 1-48, 2021.
Gindi S., Streets, J., “Structure of collapsing solutions of generalized Ricci flow”, J. Geom. Anal., vol. 31, pp. 4253-4286, 2021.
Streets, J., “Pluriclosed flow and the geometrization of complex surfaces”, Geometric Analysis, In Honor of Gang Tian’s 60th Birthday, Birkhauser Progress in Mathematics Series, 2020.
Jordan, J., Streets, J., “On a Calabi-type estimate for pluriclosed flow”, Adv. Math., vol. 366, 2020.
Holbrook, A., Lan S., Streets, J., Shahbaba, B., “Nonparametric Fisher Geometry with Application to Density Estimation”, vol. 124, 2020. Presented at Proceedings of the 36th Conference on Uncertainty in Artificial Intelligence,
Shahbaba B., Lan S., Streets J.D., Holbrook A.J., “Nonparametric fisher geometry with application to density estimation”, Proceedings of the 36th Conference on Uncertainty in Artificial Intelligence, UAI 2020, pp. 101-110, 2020.
Gibson, M., Streets, J., “Deformation classes in generalized Kähler geometry”, Complex Manifolds, vol. 7, no. 1, 2020.
Gursky, M., Kelleher, C., Streets, J., “Index-energy estimates for Yang-Mills connections and Einstein metrics”, Comm. Math. Phys., vol. 376, pp. 117-143, 2020.
Streets, J., “Classification of solitons for pluriclosed flow on complex surfaces”, Math. Ann., vol. 375, pp. 1555-1595, 2019.
Kelleher C., Streets J., “Corrigendum to “Singularity formation of the Yang-Mills flow” (Annales de l'Institut Henri Poincaré / Analyse non linéaire (2018) 35(6) (1655–1686), (S0294144918300106), (10.1016/j.anihpc.2018.01.006))”, Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, vol. 36, pp. 1501-1502, 2019.
Gursky, M., Streets, J., “A formal Riemannian structure on conformal classes and the inverse Gauss curvature flow”, Geometric Flows, vol. 4, pp. 30-50, 2019.
Streets, J., “Pluriclosed flow on generalized Kähler manifolds with split tangent bundle”, J. für die reine und Ang. Math., vol. 739, pp. 241-276, 2018.
Gursky, M., Streets, J., “A formal Riemannian structure on conformal classes and uniqueness for the σ 2 -Yamabe problem”, Geom. Topol., vol. 22, no. 6, pp. 3501-3573, 2018.
Gursky, M., Kelleher, C., Streets, J., “A conformally invariant gap theorem in Yang-Mills theory”, Comm. Math. Phys., vol. 361, no. 3, pp. 1155-1167, 2018.
Gursky, M., Streets, J., “Variational structure of the v n/2 -Yamabe problem”, Diff. Geom. Appl., vol. 56, pp. 187-201, 2018.
Kelleher, C., Streets, J., “Singularity formation of the Yang-Mills flow”, Annales de l’Institut Henri Poincaré, vol. 35, no. 6, pp. 1655-1686, 2018.
Streets, J., “Global viscosity solutions of generalized Kähler-Ricci flow”, Proc. Amer. Math. Soc., vol. 146, no. 2, pp. 747-757, 2018.
Streets, J., “Generalized geometry, T-duality, and renormalization group flow”, J. Geom. Phys., vol. 114, pp. 506-522, 2017.
Streets, J., “Generalized Kähler-Ricci flow and the classification of nondegenerate generalized Kähler surfaces”, Adv. Math., vol. 316, pp. 187-215, 2017.
Boling, J., Kelleher, C., Streets, J., “Entropy, stability, and harmonic map flow”, Trans. Amer. Math. Soc., vol. 369, pp. 5769-5808, 2017.
Streets, J., “Consistency and convergence of K-energy minimizing movements”, Trans. Amer. Math. Soc., vol. 368, pp. 5075-5091, 2016.
Streets, J., “Pluriclosed flow on manifolds with globally generated bundles”, Complex Manifolds, vol. 3, pp. 222-230, 2016.
Kelleher, C., Streets, J., “Entropy, stability, and Yang-Mills flow”, Commun. Contemp. Math., vol. 18, pp. 1550032, 2016.
Streets, J., Warren, M., “Evans-Krylov Estimates for a nonconvex Monge-Ampère equation”, Math. Ann., vol. 365, pp. 805, 2016.
Streets, J., “A concentration-collapse decomposition for L 2 flow singularities”, Comm. Pure Appl. Math., vol. 69, no. 2, pp. 257-322, 2016.
Shahbaba B., Lan S., Streets J., “Contribution to the discussion of the paper 'Geodesic Monte Carlo on embedded manifolds'”, Scandinavian Journal of Statistics, vol. 41, pp. 14-15, 2014.
Streets, J., “The long time behavior of fourth order curvature flows”, Calc. Var. PDE, vol. 46, no. 1-2, pp. 39-54, 2013.
Streets, J., “Collapsing in the L 2 curvature flow”, Comm. PDE., vol. 38, pp. 985-1014, 2013.
Streets, J., “The gradient flow of the L 2 curvature energy near the round sphere”, Adv. Math., vol. 231, no. 1, pp. 328-356, 2012.
Streets, J., “The gradient flow of the L 2 curvature functional with small initial energy”, J. Geom. Anal., vol. 22, no. 3, pp. 691-725, 2012.
Kim, Y.H., Streets, J., Warren, M., “Parabolic optimal transport equations on the round sphere”, IMRN, vol. 2012, no. 19, pp. 4325-4350, 2012.
Gursky, M., Streets, J., Warren, M., “Existence of complete conformal metrics of negative Ricci curvature on manifolds with boundary”, Calc. Var. PDE, vol. 41, no. 1-2, pp. 21-43, 2011.
Streets, J., Tian, G., “Regularity theory for pluriclosed flow”, C.R. Acad. Sci. Paris, Ser. 1, vol. 349, pp. 1-4, 2011.
Streets, J., “The gradient flow of the L 2 curvature energy on surfaces”, IMRN, vol. 2011, no. 23, pp. 5398-5411, 2011.
Streets, J., “Ricci Yang-Mills flow on surfaces”, Adv. Math., vol. 223, pp. 454-475, 2010.
Streets, J., “Asymptotic curvature decay and removal of singularities of Bach-flat metrics”, Trans. Amer. Math. Soc., vol. 362, no. 3, pp. 1301-1324, 2010.
Gursky, M., Streets, J., Warren, M., “Conformally bending three-manifolds with boundary”, Annales de l’institut Fourier, vol. 60, no. 7, pp. 2421-2447, 2010.
Streets, J., “Singularities of renormalization group flows”, J. Geom. Phys., vol. 59, no. 1, pp. 8-16, 2009.
Streets, J., “Quasi-local mass functionals and generalized inverse mean curvature flow”, Comm. Anal. Geom., vol. 16, no. 3, pp. 495-537, 2008.
Streets, J., “The gradient flow of M |Rm| 2”, J. Geom. Anal., vol. 18, no. 1, pp. 249-271, 2008.

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Most Cited Publications

Streets, J., Tian, G., “A parabolic flow of pluriclosed metrics”, Int. Math. Res. Not., vol. 2010, no. 16, pp. 3101-3133, 2010.
Streets, J., Tian, G., “Hermitian curvature flow”, J. Eur. Math. Soc., vol. 13, no. 3, pp. 601-634, 2011.
Streets, J., Tian, G., “Regularity results for pluriclosed flow”, Geom. and Top., vol. 17, pp. 2389-2429, 2013.
Streets, J., Tian, G., “Generalized Kähler geometry and the pluriclosed flow”, Nuc. Phys. B, vol. 858, no. 2, pp. 366-376, 2012.
Lan, S., Streets, J., Shahbaba, B., “Wormhole Hamiltonian Monte Carlo”, 2014. Presented at AAAI 2014,
Streets, J., “Regularity and expanding entropy for connection Ricci flow”, J. Geom. Phys., vol. 58, no. 7, pp. 900-912, 2008.
Streets, J., “Long time existence minimizing movement solutions of Calabi flow”, Adv. Math., vol. 259, pp. 688-729, 2014.
Streets, J., “Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds”, Comm. PDE, vol. 41, no. 2, 2016.
Streets J., “The gradient flow of ∫ <inf>m</inf> |Rm| <sup>2</sup>”, Journal of Geometric Analysis, vol. 18, pp. 249-271, 2008.
Streets, J., Tian, G., “Symplectic curvature flow”, J. für die reine und Ang. Math., vol. 2014, no. 696, pp. 143-185, 2014.

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Contact Information

Website: http://www.math.uci.edu/~jstreets

Email: jstreets@uci.edu

Phone: +1-919-624-9527

Address: 440C Rowland Hall, Irvine, CA 92697

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This profile was last updated on 2/12/2025.

This profile was created with the help of AI.