Moshe Kamensky

I am currently a postdoc at the Mathematics department of Notre-Dame University, where I work with Sergei Starchenko, as well as others in the logic group.

I was previously a postdoc at the Pure Math department of the University of Waterloo. I worked there with Rahim Moosa.

Before that I was a Modnet postdoc at the maths department of the University of East-Anglia, where I worked with David Evans.

My full CV is available. My contact details are below.

Research interests

I am interested in model theory, and its applications to other areas of mathematics, especially to algebraic geometry, algebra and differential equations. I also like algebraic geometry in general, as well as category theory. A more detailed description of my past and planned research is available. I am the principal investigator for NSF grant 1001741.

Papers and pre-prints

My papers are also available on the arXiv.

• Tannakian formalism over fields with operators, submitted
• A categorical approach to internality, In Models, Logics and Higher dimensional categories, CRM Proceedings and lecture notes 53 (2011)
• Model theory and the Tannakian formalism, Accepted for publication in TAMS
• Definable groups of partial automorphisms, Selecta Mathematica, New Series 15 (2009)
• The model completion of the theory of modules over finitely generated commutative algebras, J. Symbolic Logic 74 (2009)
• Ind- and pro- definable sets, Ann. Pure Appl. Logic 147 (2007)

Teaching

Fall 2011

Graduate course on set theory (mainly forcing). Lecture notes

Winter 2011

Undergraduate algebra (basic group theory and Galois theory). Lecture notes

Winter and Fall 2010, and Winter 2011

Calculus III (course materials on Concourse)

Fall 2009

Graduate course on the model theory of difference fields (ACFA). Lecture notes

Winter 2009

Calculus II for biologists (Waterloo)

Spring 2008

Introduction to group theory, PMath 336 (Waterloo). Essentially the same as the group theory part of the algebra notes above.

Fall 2007

Linear algebra for engineers, Math 115 (Waterloo). Lecture notes.

Lecture notes

Here are some notes, mainly from lectures I gave.

• Definable groups of Automorphisms This a summary of the main part of my thesis
• Model theory of Tannakian categories A proof of the group reconstruction theorem via model theory
• Differential tensor categories Tannakian formalism for differential linear groups, with model theoretic proofs
• Motivic integration An introductory review of motivic integration, following Loeser and Hrushovski-Kazhdan
• Differential Galois theory An introduction to Galois theory of linear differential equations

Contact

Email

kamensky.1@nd.edu

Phone

+1 574 631 9013

Snail mail

      Department of Mathematics,
      255 Hurley Hall,
      Notre-Dame University, IN, 46556
      USA
      

PGP key

1024D/C28C05E3
A3A6 FA5C 6771 4CF2 F22D A8B9 9018 E656 C28C 05E3