Caterina (Katia) Consani (born 1963) is an Italian mathematician specializing in

arithmetic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. ...

. She is a professor of mathematics at

Johns Hopkins University The Johns Hopkins University (often abbreviated as Johns Hopkins, Hopkins, or JHU) is a private university, private research university in Baltimore, Maryland, United States. Founded in 1876 based on the European research institution model, J ...

Contributions

Consani is the namesake of the

Consani–Scholten quintic In the mathematical fields of algebraic geometry and arithmetic geometry, the Consani–Scholten quintic is an algebraic variety, algebraic hypersurface (the set of solutions to a single polynomial equation in multiple variables) studied in 2001 b ...

, a

quintic threefold In mathematics, a quintic threefold is a 3-dimensional hypersurface of degree 5 in 4-dimensional projective space \mathbb^4. Non-singular quintic threefolds are Calabi–Yau manifolds. The Hodge diamond of a non-singular quintic 3-fold is Physi ...

that she described with Jasper Scholten in 2001, and of the Connes–Consani plane connection, a relationship between the

field with one element In mathematics, the field with one element is a suggestive name for an object that should behave similarly to a finite field with a single element, if such a field could exist. This object is denoted F1, or, in a French–English pun, Fun. The nam ...

and certain

group action In mathematics, a group action of a group G on a set S is a group homomorphism from G to some group (under function composition) of functions from S to itself. It is said that G acts on S. Many sets of transformations form a group under ...

s on

projective space In mathematics, the concept of a projective space originated from the visual effect of perspective, where parallel lines seem to meet ''at infinity''. A projective space may thus be viewed as the extension of a Euclidean space, or, more generally ...

s investigated by Consani with

Alain Connes Alain Connes (; born 1 April 1947) is a French mathematician, known for his contributions to the study of operator algebras and noncommutative geometry. He was a professor at the , , Ohio State University and Vanderbilt University. He was awar ...

. She is also known for her work with

Matilde Marcolli Matilde Marcolli is an Italian and American mathematical physicist. She has conducted research work in areas of mathematics and theoretical physics; obtained the Heinz Maier-Leibnitz-Preis of the Deutsche Forschungsgemeinschaft, and the Sofia Kova ...

Arakelov theory In mathematics, Arakelov theory (or Arakelov geometry) is an approach to Diophantine geometry, named for Suren Arakelov. It is used to study Diophantine equations in higher dimensions. Background The main motivation behind Arakelov geometry is tha ...

and

noncommutative geometry Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of ''spaces'' that are locally presented by noncommutative algebras of functions, possibly in some g ...

Education and career

Consani was born January 9, 1963, in

Chiavari Chiavari (; ) is a seaside comune (municipality) in the Metropolitan City of Genoa, in Italy. It has about 28,000 inhabitants. It has a beachside promenade and a marina and is situated near the river Entella (river), Entella. History Pre-Rom ...

. She earned a

laurea In Italy, the ''laurea'' is the main post-secondary academic degree. The name originally referred literally to the laurel wreath, since ancient times a sign of honor and now worn by Italian students right after their official graduation ceremo ...

in mathematics in 1986 at the

University of Genoa The University of Genoa () is a public research university. It is one of the largest universities in Italy and it is located in the city of Genoa, on the Italian Riviera in the Liguria region of northwestern Italy. The original university was fou ...

, a doctorate (''dottorato di ricerca'') in 1992 from the University of Genoa and the

University of Turin The University of Turin (Italian language, Italian: ''Università degli Studi di Torino'', UNITO) is a public university, public research university in the city of Turin, in the Piedmont (Italy), Piedmont region of Italy. It is one of the List ...

, and a second doctorate in 1996 from the

University of Chicago The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chic ...

. Her first doctoral dissertation was ''Teoria dell’ intersezione e K-teoria su varietà singolari'', supervised by Claudio Pedrini, and her second dissertation was ''Double Complexes and Euler L-factors on Degenerations of Algebraic Varieties'', supervised by

Spencer Bloch Spencer Janney Bloch (born May 22, 1944; New York City) is an American mathematician known for his contributions to algebraic geometry and algebraic ''K''-theory. Bloch is a R. M. Hutchins Distinguished Service Professor Emeritus in the Departm ...

. She was a

C. L. E. Moore instructor The job title of C. L. E. Moore instructor is given by the Math Department at Massachusetts Institute of Technology to recent math Ph.D.s hired for their promise in pure mathematics research. The instructors are expected to do both teaching and res ...

at the

Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a Private university, private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of moder ...

from 1996 to 1999, overlapping with a research visit in 1998 to the

University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...

. After additional postdoctoral research at the

Institute for Advanced Study The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...

, she became an assistant professor at the

University of Toronto The University of Toronto (UToronto or U of T) is a public university, public research university whose main campus is located on the grounds that surround Queen's Park (Toronto), Queen's Park in Toronto, Ontario, Canada. It was founded by ...

in 2000, and moved to Johns Hopkins in 2005.

Recognition

Consani was elected as a Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

in the 2024 class of fellows.

Selected publications

References

{{DEFAULTSORT:Consani, Caterina 1963 births Living people 21st-century American mathematicians Italian mathematicians University of Genoa alumni University of Turin alumni University of Chicago alumni Academic staff of the University of Toronto Johns Hopkins University faculty 21st-century American women mathematicians People from Chiavari Massachusetts Institute of Technology School of Science faculty Fellows of the American Mathematical Society