Brett Kotschwar

Assoc Professor

  • 174 Citations
  • 7 h-Index
20072020

Research output per year

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Research Output

  • 174 Citations
  • 7 h-Index
  • 14 Article
2017

Kählerity of Shrinking Gradient Ricci Solitons Asymptotic to Kähler Cones

Kotschwar, B., Oct 4 2017, (Accepted/In press) In : Journal of Geometric Analysis. p. 1-15 15 p.

Research output: Contribution to journalArticle

1 Scopus citations

Short-time persistence of bounded curvature under the Ricci flow

Kotschwar, B., 2017, In : Mathematical Research Letters. 24, 2, p. 427-447 21 p.

Research output: Contribution to journalArticle

1 Scopus citations
2016

A local curvature estimate for the Ricci flow

Kotschwar, B., Munteanu, O. & Wang, J., Nov 1 2016, In : Journal of Functional Analysis. 271, 9, p. 2604-2630 27 p.

Research output: Contribution to journalArticle

4 Scopus citations

A short proof of backward uniqueness for some geometric evolution equations

Kotschwar, B., 2016, (Accepted/In press) In : International Journal of Mathematics.

Research output: Contribution to journalArticle

4 Scopus citations
2015

An Energy Approach to Uniqueness for Higher-Order Geometric Flows

Kotschwar, B., Dec 14 2015, (Accepted/In press) In : Journal of Geometric Analysis. p. 1-25 25 p.

Research output: Contribution to journalArticle

3 Scopus citations

Rigidity of asymptotically conical shrinking gradient Ricci solitons

Kotschwar, B. & Wang, L., May 1 2015, In : Journal of Differential Geometry. 100, 1, p. 55-108 54 p.

Research output: Contribution to journalArticle

16 Scopus citations

Time-Analyticity of solutions to the ricci flow

Kotschwar, B., Jan 1 2015, In : American Journal of Mathematics. 137, 2, p. 535-576 42 p.

Research output: Contribution to journalArticle

2 Scopus citations
2014

An energy approach to the problem of uniqueness for the Ricci flow

Kotschwar, B., 2014, In : Communications in Analysis and Geometry. 22, 1, p. 149-176 28 p.

Research output: Contribution to journalArticle

12 Scopus citations

Ricci flow and the holonomy group

Kotschwar, B., May 1 2014, In : Journal fur die Reine und Angewandte Mathematik. 690, p. 133-161 29 p.

Research output: Contribution to journalArticle

3 Scopus citations
2013
10 Scopus citations
2010

Backwards uniqueness for the Ricci Flow

Kotschwar, B. L., Nov 11 2010, In : International Mathematics Research Notices. 2010, 21, p. 4064-4097 34 p.

Research output: Contribution to journalArticle

34 Scopus citations
2009

Local gradient estimates of p-harmonic functions, 1/H-flow, and an entropy formula

Kotschwar, B. & Ni, L., Jan 1 2009, In : Annales Scientifiques de l'Ecole Normale Superieure. 42, 1, p. 1-36 36 p.

Research output: Contribution to journalArticle

Open Access
43 Scopus citations
2008

On rotationally invariant shrinking Ricci solitons

Kotschwar, B., May 1 2008, In : Pacific Journal of Mathematics. 236, 1, p. 73-88 16 p.

Research output: Contribution to journalArticle

16 Scopus citations
2007

Hamilton's gradient estimate for the heat kernel on complete manifolds

Kotschwar, B. L., Sep 1 2007, In : Proceedings of the American Mathematical Society. 135, 9, p. 3013-3019 7 p.

Research output: Contribution to journalArticle

25 Scopus citations