About me

I am an Assistant Professor of Mathematics at Rutgers University.

Previously, I was a Research Assistant Professor at UIC from 2019 to 2022. I held a postdoctoral position at the University of Münster in Spring 2019. I received my PhD at the University of Turin in 2018 under the supervision of Luca Motto Ros.

My research is supported by the NSF grant DMS – 2348819

Research interests

Mathematical logic, descriptive set theory, and infinite group theory.

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Publications and Preprints

• Condensation and left-orderable groups (with A. Clay)
  Submitted, 2023.
• The Borel complexity of the space of left-orderings, low-dimensional topology, and dynamics (with A. Clay)
  Submitted, 2023.
• Rotation equivalence and cocycle superrigidity
  J. London Math. Soc. 107 (2023), no. 1, 189 – 212.
• Anti-classification results for groups acting freely on the line (with D. Marker, L. Motto Ros, A. Shani)
  Adv. Math. 418 (2023), 108938, 45 pp.
• Borel structures on the space of left-orderings (with A. Clay)
  Bull. London Math. Soc., 54 (2022), no. 1, 83 – 94.
• Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures (with A. Kwiatkowska and K. Tent)
  J. Algebra, 580 (2021), pp. 43 – 62.
• Invariant universality for quandles and fields (with A. Brooke-Taylor and S. Miller)
  Fund. Math., 251 (2020), pp. 1 – 16.
• Uncountable structures are not classifiable up to bi-embeddability (with H. Mildenberger and L. Motto Ros)
  J. Math. Log., 20 (2020), no. 01, 2050001, pp. 1 – 49.
• The bi-embeddability relation for countable abelian groups (with S. Thomas)
  Trans. Amer. Math. Soc., 371 (2019), no. 3, pp. 2237 – 2254.
• The complexity of the embeddability between torsion-free abelian groups of uncountable size
  J. Symbolic Logic, 83 (2018), no. 2, pp. 703 – 716.
• Universality of group embeddability (with L. Motto Ros)
  Proc. Amer. Math. Soc., 146 (2018), pp. 1765 – 1780.

Thesis

• A descriptive view of the bi-embeddability relation PhD Thesis, University of Turin, 2018.

Others

• Popa superrigidity and incomparable actions of linear groups. Preprint.
• Notes on countable Borel equivalence relations from a class I thaught in Spring 2020.

Teaching at Rutgers

Fall 2023

MATH 569 -- Selected Topics in Logic

Spring 2023

MATH 350 -- Linear Algebra

Fall 2022

MATH 152 -- Calculus II for Mathematics and Physical Sciences

Teaching at UIC

Fall 2021

MATH 215 -- Introduction to advanced mathematics

MATH 511 -- Descriptive set theory

Spring 2021

MATH 215 -- Introduction to advanced mathematics

MATH 430 -- Formal Logic

Fall 2020

MATH 502 -- Mathematical Logic

Spring 2020

MATH 215 -- Introduction to advanced mathematics

MATH 512 -- Advanced Topics in Logic

Fall 2019

Events at UIC