Micah Warren

505 total citations
24 papers, 239 citations indexed

About

Micah Warren is a scholar working on Applied Mathematics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Micah Warren has authored 24 papers receiving a total of 239 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Applied Mathematics, 13 papers in Geometry and Topology and 6 papers in Computational Theory and Mathematics. Recurrent topics in Micah Warren's work include Geometric Analysis and Curvature Flows (20 papers), Nonlinear Partial Differential Equations (14 papers) and Geometry and complex manifolds (12 papers). Micah Warren is often cited by papers focused on Geometric Analysis and Curvature Flows (20 papers), Nonlinear Partial Differential Equations (14 papers) and Geometry and complex manifolds (12 papers). Micah Warren collaborates with scholars based in United States and Canada. Micah Warren's co-authors include Yu Yuan, Simon Brendle, Robert J. McCann, Jingyi Chen, Jeffrey Streets, Matthew J. Gursky, Young‐Heon Kim, Brendan Pass and Jingyi Chen and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Transactions of the American Mathematical Society and Journal of Differential Equations.

In The Last Decade

Micah Warren

19 papers receiving 224 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Micah Warren United States	11	234	116	87	36	16	24	239
Philippe Delanoë France	10	214 0.9×	150 1.3×	26 0.3×	25 0.7×	28 1.8×	22	229
Sirkka-Liisa Eriksson Finland	9	242 1.0×	53 0.5×	36 0.4×	53 1.5×	8 0.5×	45	268
Michel Bonnefont France	9	189 0.8×	92 0.8×	42 0.5×	71 2.0×	25 1.6×	19	227
Hervé Pajot France	6	165 0.7×	128 1.1×	32 0.4×	104 2.9×	13 0.8×	10	221
Cheikh Birahim Ndiaye Germany	7	189 0.8×	86 0.7×	77 0.9×	60 1.7×	12 0.8×	27	201
Daniele Valtorta Switzerland	7	152 0.6×	55 0.5×	76 0.9×	54 1.5×	14 0.9×	12	161
Andreas Gastel Germany	7	208 0.9×	64 0.6×	129 1.5×	67 1.9×	6 0.4×	20	219
Paul MacManus United States	9	303 1.3×	153 1.3×	56 0.6×	102 2.8×	19 1.2×	14	333
Jimmy Petean Mexico	8	145 0.6×	122 1.1×	30 0.3×	54 1.5×	20 1.3×	26	173
Sergei Buyalo Russia	8	125 0.5×	216 1.9×	34 0.4×	143 4.0×	9 0.6×	27	249

Countries citing papers authored by Micah Warren

Since Specialization

Citations

This map shows the geographic impact of Micah Warren's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Micah Warren with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Micah Warren more than expected).

Fields of papers citing papers by Micah Warren

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Micah Warren. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Micah Warren. The network helps show where Micah Warren may publish in the future.

Co-authorship network of co-authors of Micah Warren

This figure shows the co-authorship network connecting the top 25 collaborators of Micah Warren. A scholar is included among the top collaborators of Micah Warren based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Micah Warren. Micah Warren is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Warren, Micah. (2025). Minimal Lagrangian submanifolds of weighted Kim–McCann metrics. Canadian Mathematical Bulletin. 68(4). 1223–1238. 1 indexed citations

Warren, Micah. (2025). Continuum Nash bargaining solutions. Nonlinear Differential Equations and Applications NoDEA. 32(6).

Chen, Jingyi & Micah Warren. (2024). Compactification of the space of Hamiltonian stationary Lagrangian submanifolds with bounded total extrinsic curvature and volume. Journal of Differential Geometry. 126(1).

Chen, Jingyi, et al.. (2023). Regularity of Hamiltonian stationary equations in symplectic manifolds. Advances in Mathematics. 424. 109059–109059. 1 indexed citations

Warren, Micah. (2023). Bitcoin: A Game-Theoretic Analysis. 1 indexed citations

Chen, Jingyi & Micah Warren. (2018). Radial solutions of a fourth order Hamiltonian stationary equation. Journal of Differential Equations. 265(4). 1576–1595. 3 indexed citations

Warren, Micah, et al.. (2017). Coarse Ricci Curvature as a Function on $$\varvec{M\times M}$$. Results in Mathematics. 72(4). 1823–1837.

Warren, Micah. (2015). Nonpolynomial entire solutions to σ_kequations. Communications in Partial Differential Equations. 41(5). 848–853. 15 indexed citations

Warren, Micah. (2015). A Liouville property for gradient graphs and a Bernstein problem for Hamiltonian stationary equations. manuscripta mathematica. 150(1-2). 151–157. 5 indexed citations

10.

Warren, Micah, et al.. (2014). Coarse Ricci curvature and the manifold learning problem.. arXiv (Cornell University). 1 indexed citations

11.

McCann, Robert J., Brendan Pass, & Micah Warren. (2011). Rectifiability of Optimal Transportation Plans. Canadian Journal of Mathematics. 64(4). 924–934. 13 indexed citations

12.

Warren, Micah. (2011). Regularity for a log-concave to log-concave mass transfer problem with near Euclidean cost. Communications in Analysis and Geometry. 19(1). 191–208. 1 indexed citations

13.

Kim, Young‐Heon, Jeffrey Streets, & Micah Warren. (2011). Parabolic Optimal Transport Equations on Manifolds. International Mathematics Research Notices. 2012(19). 4325–4350. 4 indexed citations

14.

Kim, Young‐Heon, Robert J. McCann, & Micah Warren. (2010). Pseudo-Riemannian geometry calibrates optimal transportation. Mathematical Research Letters. 17(6). 1183–1197. 12 indexed citations

15.

Warren, Micah & Yu Yuan. (2010). Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase. American Journal of Mathematics. 132(3). 751–770. 25 indexed citations

16.

Brendle, Simon & Micah Warren. (2010). A boundary value problem for minimal Lagrangian graphs. Journal of Differential Geometry. 84(2). 19 indexed citations

17.

Gursky, Matthew J., Jeffrey Streets, & Micah Warren. (2010). Existence of complete conformal metrics of negative Ricci curvature on manifolds with boundary. Calculus of Variations and Partial Differential Equations. 41(1-2). 21–43. 17 indexed citations

18.

Warren, Micah & Yu Yuan. (2008). Explicit gradient estimates for minimal Lagrangian surfaces of dimension two. Mathematische Zeitschrift. 262(4). 867–879. 12 indexed citations

19.

Warren, Micah & Yu Yuan. (2008). A Liouville Type Theorem for Special Lagrangian Equations with Constraints. Communications in Partial Differential Equations. 33(5). 922–932. 12 indexed citations

20.

Warren, Micah & Yu Yuan. (2008). Hessian estimates for the sigma‐2 equationin dimension 3. Communications on Pure and Applied Mathematics. 62(3). 305–321. 38 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact