Dr. Stefan Ovidiu Tohaneanu

Department of Mathematics

University of Idaho

875 Perimeter Drive MS 1103, Moscow, ID 83844-1103

Phone: (208) 885-6234

tohaneanu@uidaho.edu

**Employment**

2019-present: Associate Professor,
University of Idaho

2013-2019: Assistant Professor, University of Idaho

2010-2013: Postdoctoral Fellow and Assistant Professor, The University of Western
Ontario (Advisor Dr.
Graham Denham)

2007-2010: Visiting Assistant Professor, University of Cincinnati

2002-2007: Graduate Teaching Assistant, Texas A&M University

**Education **

Ph.D., Mathematics, Texas A&M University, 2007 (Advisor Dr. Hal Schenck)

M.S., Mathematics (Analysis), University of Bucharest, 2001

M.S., Mathematics (Algebra), University of Bucharest, 1999

B.S., Mathematics, University of Bucharest, 1997

**USEFUL LINKS FOR MATH MAJOR UNDERGRADUATE STUDENTS**

**Teaching **

Students, please check blackboard for detailed information.

Spring 2022: MATH 556: Groups and Fields II, and MATH 330: Linear Algebra.

Fall 2021: MATH 555: Groups and Fields I, and MATH 415: Cryptography

Spring 2021: MATH 462: Abstract Algebra II, and MATH 330: Linear Algebra

Fall 2020: MATH 461: Abstract Algebra I, and MATH 430: Advanced Linear Algebra

Spring 2020: MATH 376: Discrete Math II, and MATH 330: Linear Algebra

Fall 2019: MATH 176: Discrete Math I, and MATH 415: Cryptography

Spring 2019: MATH 275: Calculus III, and course coordinator for MATH 175: Calculus II

Fall 2018: MATH 176: Discrete Math I, and MATH 415: Cryptography

Spring 2018: MATH 420: Complex Variables, and MATH 176: Discrete Math I

Fall 2017: MATH 461: Abstract Algebra I, and MATH 415: Cryptography

Spring 2017: MATH 558: Intro to Algebraic Geometry, and MATH 176: Discrete Math I

Fall 2016: MATH 557: Ring Theory, and MATH 330: Linear Algebra.

Summer 2016 – II: MATH 310: Ordinary Differential Equations.

Spring 2016. MATH 330: Linear Algebra, and MATH 556: Groups and Fields II

Fall 2015. MATH 170: Calculus I (entire in-campus course), and MATH 555: Groups and Fields I

Summer 2015. MATH 310 (both sections): Ordinary Differential Equations.

Spring 2015. MATH 310: Ordinary Differential Equations.

Fall 2014. MATH 176: Discrete Math I, and MATH 275: Calculus III.

Spring 2014. MATH 376: Discrete Math II.

Fall 2013. MATH 330: Linear Algebra.

**Research **

My research interest are in Commutative Algebra with applications to
Combinatorics, Discrete Geometry, Algebraic Geometry, Coding Theory or Spline
Approximation. Please click this link for a
detailed CV. Stuff about me and my research can be also found on Google
Scholar and Research
Gate.

This is the 2nd draft of a book I am writing titled: “Interactions between Commutative Algebra and Coding Theory”: BOOK

This is the list of my publications. Most of the articles are hyperlinked to their arXiv old versions (hence may contain errors and the exposition is outdated). For the published updated latest versions of the articles, please check the journals’ websites.

- On the
Jacobian ideal of an almost generic hyperplane arrangement (with R.
Burity and A. Simis)

*Proc. Amer. Math. Soc. ***150***
*(2022),
4259-4276.

- Logarithmic
derivations associated to line arrangements (with R. Burity)

*J. Algebra* **581 **(2021), 327-352.

- Ideals
generated by a-fold products of linear forms have linear graded free
resolutions (with R. Burity and Yu Xie)

*Michigan Math. J. *(202?), accepted; a version is available at arXiv:
2004.07430.

- On
Geramita-Harbourne-Migliore conjecture (with Yu Xie)

*Trans. Amer. Math. Soc. ***374 **(2021), 4059-4073.

Unpublished; a version is available at arXiv: 1906.02422.

- On the containment
problem for fat points ideals (with Yu Xie)

*Proc. Amer. Math. Soc.* **148 **(2020),
2411-2419.

- Generalized
minimum distance functions and algebraic invariants of Geramita ideals
(with S. Cooper, A. Seceleanu, M. Vaz Pinto and R. Villarreal)

*Advances in Applied Math.* **112 **(2020), 101940.

*J. Commutative Algebra* **13 **(2021), 549-570.

- Equivalent
matrices up to permutations (with Jesus Vargas)

Unpublished; a version is available at arXiv: 1805.08343.

Extended abstract published in *Oberwolfach Reports ***5
**(2021) 59-61.

- A blowup
algebra for hyperplane arrangements (with M. Garrousian and A. Simis)

*Algebra & Number Theory ***12
**(2018)*, *1401-1429.

*Mathematische Nachrichten ***290
**(2017),
3029-3037.

- Generalized
star configurations and the Tutte polynomial (with B. Anzis and M.
Garrousian)

*J. Algebraic Combinatorics* **42 **(2017), 165-187.

*J. Combinatorial Theory,
Series A* **140** (2016), 76-96.

- On
a conjecture of Vasconcelos via Sylvester forms (with R. Burity and A.
Simis)

*J. Symbolic Computation* **77 **(2016), 39-62.

*Discrete Mathematics* **339 **(2016), 54-61.

*Archiv der Mathematik* **105 **(2015), 343-349.

- Minimum
distance of linear codes and the \alpha-invariant (with M. Garrousian)

*Advances in Applied Math.* **71 **(2015), 190-207.

- Error-correction
of linear codes via colon ideals (with B. Anzis)

*J. Algebra (C.S.)* **443 **(2015), 479-493.

- The ubiquity
of Sylvester forms in almost complete intersections (with A. Simis)

*Collectanea Math.* **66 **(2015), 1-31.

*J. Algebra* **400** (2014),
72-77.

- Modular decomposition of the
Orlik-Terao algebra of a hyperplane arrangement (with G. Denham and M.
Garrousian)

*Annals of Combinatorics***18**(2014), 289-312. - Homology of homogeneous divisors
(with A. Simis)

*Israel J. Math.***200**(2014), 449-487. - A commutative algebraic approach to
the fitting problem

*Proc. Amer. Math. Soc.***142**(2014), 659-666. - A computational criterion for the
supersolvability of line arrangements

*Ars Combinatoria***117** - From Splines Approximation to Roth's
Equation and Schur Functors (with J. Minac)

*Manuscripta Math.***142**(1) (2013), 101-126. - On freeness of divisors on P^2

*Communications in Algebra***41**(8) (2013), 2916-2932. - Growth of the ideal generated by a
quadratic multivariate function over GF(3) (with T. Hodges, J. Ding,
V. Kruglov, D. Schmidt)

*J. Algebra Appl.***12**(2013), 1250219-1 to 23. - Bounding invariants of fat points
using a Coding Theory construction (with A. Van Tuyl)

*J. Pure Appl. Algebra***217**(2013), 269-279. - The
minimum distance of sets of points and the minimum socle degree

*J. Pure Appl. Algebra***215**(2011), 2645-2651. - On
the De Boer-Pellikaan method for computing minimum distance

*J. Symbolic Computation***45**(2010), 965-974. - Lower bounds
on minimal distance of evaluation codes

*Appl. Algebra Eng. Commun. Comput.***20**(5-6)(2009), 351-360. - The Orlik-Terao algebra and
2-formality (with H. Schenck)

*Math. Res. Lett.***16**(1)(2009), 171-182. - Freeness of Conic-Line Arrangements
in P^2 (with H. Schenck)

*Commentarii Mathematici Helvetici***84**(2009) 235-258. - Mutant Grobner basis algorithm (with J. Ding, D.
Cabarcas, D. Schmidt and J. Buchmann)

Proceedings of the 1st international conference on Symbolic Computation and Cryptography, Beijing, LMIB, pp. 16-22 (2008). - Topological criteria for k-formal
arrangements

*Beitrage zur Algebra und Geometrie***48**(1)(2007), 27-34. - Smooth planar r-splines of degree
2r

*J. Approx. Theory***132**(2005), 72-76.