Curriculum Vitae
Caterina Consani
Professor of Mathematics
Johns Hopkins University
Research interests:
Arithmetic–Noncommutative Geometry, Algebraic Geometry, and Number Theory.
Updated January 2026.
Department of Mathematics
Johns Hopkins University
Krieger Hall 410-B
3400 N. Charles Street
Baltimore, MD 21218-2683
cconsan1@jhu.edu
www.math.jhu.edu/~kc
Citizenship: United States and Italy
Academic Appointments
Johns Hopkins University
- Professor, July 2008–present
- Associate Professor with tenure, 2005–2008
University of Toronto
- Associate Professor of Mathematics with tenure, 2003–2005
- Assistant Professor of Mathematics, 2000–2003
Institute for Advanced Study
- Member, School of Mathematics, 1999–2000
- Mentor: Pierre Deligne
University of Cambridge
- Research Associate, January–June 1998
Massachusetts Institute of Technology
- C. L. E. Moore Instructor, 1996–1999
- Mentor: Alexander Goncharov
Education
The University of Chicago
- Ph.D. in Mathematics, 1993–1996
- Advisor: Spencer Bloch
- Thesis: Double Complexes and Euler L-Factors on Degenerations of Algebraic Varieties
Universities of Genoa and Turin
- Dottore di Ricerca in Matematica, 1988–1993
- Advisor: Claudio Pedrini
- Thesis: Intersection Theories and K-Theory on Singular Varieties
Scuola Nazionale di Alta Matematica F. Severi
- Postdoctoral Fellow, Rome La Sapienza and University of Florence, 1986–1988
University of Genoa
- Laurea in Mathematics, cum laude, 1981–1986
Grants
- PI, NSF DMS-2601705 Conference: Fundamental Geometries, 2026–2027
- PI, Simons Foundation Collaboration Grant for Mathematicians No. 691493, 2020–2025
- Co-PI, NSF DMS-1854546 Special Meetings Grant, 2019–2020
- Co-PI, NSF DMS-1701934 Special Meetings Grant, 2017–2018
- PI, Simons Foundation Collaboration Grant for Mathematicians No. 353677, 2015–2020
- PI, NSF DMS-1069218, 2011–2015
- PI, NSF FRG-0652431, 2007–2011
Honors
- Fellow of the American Mathematical Society, 2024
Synergistic Activities
- Co-organizer, Absolute Geometries, JHU–University of Bologna, Bologna, June 2026
- Co-organizer, Noncommutativity at the Interface of Topology, Geometry and Analysis, Bologna, June 2024
- Co-organizer, Cyclic Cohomology at 40: Achievements and Future Prospects, Fields Institute, September 2021
- Co-organizer, Global Noncommutative Geometry Seminar, 2020–present, globalncgseminar.org
- Co-organizer, JAMI Program Riemann–Roch in Characteristic One and Related Topics, Johns Hopkins University, 2019
- Co-organizer, Toposes in Como, Villa del Grumello, Como, 2018, conference website
- Co-organizer, conference in honor of Alain Connes' 70th birthday, Fudan University, Shanghai, 2017
- Co-organizer, Noncommutative Geometry Festival in honor of Henri Moscovici's 70th birthday, Texas A&M University, 2014
- Co-organizer, JAMI Program Number Theory and Related Topics, Johns Hopkins University, 2013
Visiting Positions
- Fields Institute, Toronto, December 2023
- Mathematisches Forschungsinstitut Oberwolfach, several visits, 2011–2026
- Ohio State University, several visits, 2013–2019
- Shanghai Center for Mathematical Sciences, April–May 2017
- IHES, November 2015
- Hausdorff Center for Mathematics, Bonn, November 2014
Editorial Work and Reviewer Service
Editorial Boards
- Journal of Noncommutative Geometry
- Journal of Number Theory
- Rendiconti del Seminario Matematico della Università di Padova
Editorial Projects
- Co-editor, Proceedings of Symposia in Pure Mathematics, AMS, 2023
- Co-editor, Cyclic Cohomology at 40: Achievements and Future Prospects
- Co-editor, Advances in Noncommutative Geometry: On the Occasion of Alain Connes' 70th Birthday, Springer, 2019
- Co-editor, Proceedings of the 21st JAMI Conference, Johns Hopkins University Press, 2012
- Co-editor, Noncommutative Geometry and Number Theory: Where Arithmetic Meets Geometry and Physics, Vieweg, 2006
Selected Reviewer Service
NSF, NSERC, Canadian Mathematical Society, American Mathematical Society, Royal Society URF, High Council for the Evaluation of Research (France), Mathematical Reviews, Zentralblatt Math, Banff International Research Station, and numerous journals in algebra, geometry, number theory, and analysis.
Selected Meetings and Seminars
- Oberwolfach Workshop Low-dimensional Topology and Number Theory, April 2026
- Invited talk, Interfaces of Spectral Theory, Operator Algebras and Noncommutative Geometry, Bonn, June–July 2026
- Algebra Seminar, Tulane University, May 2025
- Colloquium, University of Pittsburgh, November 2024
- Regulators V, University of Pisa, June 2024
- North Atlantic Noncommutative Geometry Seminar, April 2024
- Fields Institute workshop on Operator Algebras and Noncommutative Geometry, December 2023
- Algebra Seminar, Universidad Nacional de Colombia, December 2021
- Fields Institute, September 2021
- Yorkshire and Midlands Category Seminar, September 2021
- Western University Colloquium, December 2020
- Texas A&M University, September 2019
Ph.D. Students
Luqiao Xu
On the Geometry over the Absolute Point
Sean Owen
On Absolute Riemann–Roch and Rings of \(\mu\)-Polynomials
Benjamin Diamond
Smooth Surfaces in Smooth Fourfolds with Vanishing First Chern Class
Kalina Mincheva
Semiring Congruences and Tropical Geometry
JaiUng Jun
Algebraic Geometry over Semistructures and Hyperstructures in Characteristic One
Jeffrey Tolliver
Hyperstructures and Idempotent Semistructures
Abhishek Banerjee
Nearby Cycles and Periodicity in Cyclic Homology
Geoffrey Lynch
The Local Monodromy Operator as an Algebraic Cycle
Postdoctoral Fellows
- Aurélien Sagnier, J. J. Sylvester Assistant Professor, Johns Hopkins University, 2019–2022
- Snigdhayan Mahanta, J. J. Sylvester Assistant Professor, Johns Hopkins University, 2008–2010
Publications
A complete list of publications and preprints is available on the Publications page.