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Background

Cary Malkiewich applies stable homotopy theory (spectra) to questions about manifolds and cell complexes. 

He is particularly interested in applications involving algebraic K-theory, equivariance (the action of a group G), traces and fixed-point invariants, and differential topology (smooth manifolds). His work has also taken a recent turn toward scissors congruence; in 2022, he proved that it is described by a Thom spectrum, and he is developing the consequences of this surprising result for the higher scissors congruence groups. He is partially supported by the grants NSF DMS-2005524 and NSF DMS-2052923.

Select Publications

• Anna Marie Bohmann, Teena Gerhardt, Cary Malkiewich, Mona Merling, and Inna Zakharevich. A Trace Map on Higher Scissors Congruence Groups. International Mathematics Research Notices, 2024.
• John R. Klein, Cary Malkiewich, and Maxime Ramzi. On the multiplicativity of the Euler characteristic. Proceedings of the American Mathematical Society, 2023.
• John R. Klein and Cary Malkiewich. K-theoretic torsion and the zeta function. Ann. K-Theory, 2022.
• Cary Malkiewich and Mona Merling. The equivariant parametrized h-cobordism theorem, the non-manifold part. Advances in Mathematics, 2022.
• Cary Malkiewich and Kate Ponto. Periodic points and topological restriction homology. International Mathematics Research Notices, 2022.
  

Education

• PhD, Stanford University
• AB, Princeton University

Research Interests

• Algebraic topology
• Homotopy theory
• Algebraic K-theory

Awards

• Harpur College Teaching Award Honorable Mention 2020, 2023, 2024

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