Tom Ilmanen
Impact in
- Applied Mathematics top 0.5%
- Geometric Analysis and Curvature Flows
- Nonlinear Partial Differential Equations
- Point processes and geometric inequalities
- Geometry and Topology top 1%
- Geometry and complex manifolds
Papers in
-
- Geometric Analysis and Curvature Flows 14
- Nonlinear Partial Differential Equations 5
- Point processes and geometric inequalities 3
-
- Geometry and complex manifolds 8
- Algebraic Geometry and Number Theory 2
- Co-authors
- Gerhard Huisken (3 shared papers)Dan Knopf (2 shared papers)Mikhail Feldman (1 shared paper)David L. Chopp (1 shared paper)Sigurd Angenent (1 shared paper)Michael Feldman (1 shared paper)Lei Ni (1 shared paper)William P. Ziemer (1 shared paper)
- Journals
- Journal of Differential Geometry (4 papers)Calculus of Variations and Partial Differential Equations (3 papers)Journal of Geometric Analysis (2 papers)General Relativity and Gravitation (1 paper)Indiana University Mathematics Journal (1 paper)
- Partner nations
- United StatesSwitzerlandGermany
In The Last Decade
Tom Ilmanen
16 papers receiving 1.1k citations
Tom Ilmanen's Hit Papers
Peers
Comparison fields: 5 of 47
- Applied Mathematics 964
- Geometry and Topology 639
- Astronomy and Astrophysics 387
- Mathematical Physics 184
- Computational Theory and Mathematics 214
Countries citing papers authored by Tom Ilmanen
This map shows the geographic impact of Tom Ilmanen'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 Tom Ilmanen with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Tom Ilmanen more than expected).
Fields of papers citing papers by Tom Ilmanen
This network shows the impact of papers produced by Tom Ilmanen. 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 Tom Ilmanen. The network helps show where Tom Ilmanen may publish in the future.
Co-authors
The 12 scholars most cited alongside Tom Ilmanen, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | The Inverse Mean Curvature Flow and the Riemannian Penrose Inequality Hit paper breakdown → | 2001 | 384 |
| 2 | 1993 | 213 | |
| 3 | 1994 | 191 | |
| 4 | 2003 | 129 | |
| 5 | 1995 | 57 | |
| 6 | 1997 | 53 | |
| 7 | 2005 | 45 | |
| 8 | 2008 | 37 | |
| 9 | 1992 | 35 | |
| 10 | 1998 | 30 | |
| 11 | 1996 | 23 | |
| 12 | 2003 | 11 | |
| 13 | 1996 | 7 | |
| 14 | 1998 | 5 | |
| 15 | 2019 | 4 | |
| 16 | 2002 | 3 |
About Tom Ilmanen
Tom Ilmanen is a scholar working on Applied Mathematics, Geometry and Topology, Astronomy and Astrophysics, Computational Theory and Mathematics and Mathematical Physics, having authored 16 papers that have together received 1.2k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (14 papers), Geometry and complex manifolds (8 papers), Nonlinear Partial Differential Equations (5 papers), Advanced Differential Geometry Research (4 papers), Point processes and geometric inequalities (3 papers), Advanced Mathematical Modeling in Engineering (2 papers), Algebraic Geometry and Number Theory (2 papers) and Spectral Theory in Mathematical Physics (1 paper). The work is most often cited by research in Applied Mathematics (964 citations), Geometry and Topology (639 citations), Astronomy and Astrophysics (387 citations), Mathematical Physics (184 citations) and Computational Theory and Mathematics (214 citations). Tom Ilmanen has collaborated with scholars based in United States, Switzerland and Germany. Frequent co-authors include Gerhard Huisken, Dan Knopf, Mikhail Feldman, David L. Chopp, Sigurd Angenent, Michael Feldman, Lei Ni, William P. Ziemer, Peter Sternberg and Francisco Martín. Their work appears in journals such as Journal of Differential Geometry, Calculus of Variations and Partial Differential Equations, Journal of Geometric Analysis, General Relativity and Gravitation and Indiana University Mathematics Journal.
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.