Valentina S. Harizanov
| Title: | Professor of Mathematics |
|---|---|
| Faculty: | Full-Time |
| Office: | 703B |
| Address: | Phillips Hall 801 22nd St. NW Washington, District Of Columbia 20052 |
| Phone: | 202-994-6595 |
| Email: |
[email protected] |
| Website: |
Valentina Harizanov currently serves as a Professor of Mathematics with the Department of Mathematics.
Current Research
- Mathematical logic
- Computability theory
- Computable model theory
- Computable algebra
- Theoretical computer science
Education
- M.A., Ph.D. 1987, University of Wisconsin-Madison
Publications
· Computability and definability, with T. Ha, L. Marshall and H. Walker, to appear in Computability, Forcing and Descriptive Set Theory, World Scientific.
· Turing degrees and automorphism groups of substructure lattices, with R. Dimitrov and A. Morozov, to appear in Algebra and Logic.
· Turing degrees of complete formulas of almost prime models, with S. Goncharov and R. Miller, Algebra and Logic 58 (2019), 282-287.
· Cohesive powers of linear orders, with R. Dimitrov, A. Morozov, P. Shafer, A. Soskova, and S. Vatev, in Computing with Foresight and Industry, Springer (2019), 168-180.
· Computability-theoretic categoricity and Scott families, with E. Fokina and D. Turetsky, Annals of Pure and Applied Logic 170 (2019), 699-717.
· Strong jump inversion, with W. Calvert, A. Frolov, J. Knight, C. McCoy, A. Soskova, and S. Vatev, Journal of Logic and Computation 7 (2018), 1499-1522.
· Orders on magmas and computability theory, with T. Ha, Journal of Knot Theory and Ramifications 27 (2018), 184001 (1-13).
· Groups with orderings of arbitrary algorithmic complexity, with J. Chubb and M. Dabkowski, in Sets and Computations, World Scientific (2017), pp. 221-251.
· The lattice of computably enumerable vector spaces, with R. Dimitrov, in Computability and Complexity, Springer (2017), pp. 366-393.
· Orbits of maximal vector spaces, with R. Dimitrov, Algebra and Logic 54 (2016), pp. 440-476.
· Logic and Algebraic Structure in Quantum Computing, J. Chubb, A. Eskandarian, and V. Harizanov, editors, Cambridge University Press/ASL, 336 pages, 2016. Introduction
· A (very) brief tour of quantum mechanics, computation, and category theory, with J. Chubb, in Logic and Algebraic Structure in Quantum Computing, Cambridge University Press, 2016.
· Automorphsm groups of substructure lattices of vector spaces in computable algebra, with R. Dimitrov and A. Morozov, in 12th Conference on Computability in Europe, Springer (2016), pp. 251-260.
· Index sets for n-decidable structures categorical relative to m-decidable presentations, with E. Fokina, S. Goncharov, O. Kudinov, and D. Turetsky, Algebra and Logic 54 (2015), pp. 336-341.
· Turing degrees of the isomorphism types of geometric objects, with W. Calvert and A. Shlapentokh, Computability 3 (2014), pp. 105-134.
· Computable model theory, with E. Fokina and A. Melnikov, in Turing’s Legacy, Cambridge University Press (2014), pp. 124-194.
· Computability-theoretic properties of injection structures, with D. Cenzer and J. Remmel, Algebra and Logic 53 (2014), pp. 39-69.
· Two-to-one structures, with D. Cenzer and J. Remmel, Journal of Logic and Computation 23 (2013), pp. 1195-1223.
. Other publications can be fund here.
