Oana Veliche
Teaching Professor of Mathematics
Northeastern University
 Title: Associate Teaching Professor, PhD
 Office: 543 Lake Hall, Mathematics Department
 Mailing Address: 360 Huntington Ave., Boston, MA 02115
 Email: o.veliche@northeastern.edu
 Phone: (617) 3735537
"Remember that the intelect is the servant of the heart, which is our life; if it leads the heart to truth, peace, joy and life, then it fulfills its detination, it is the truth; but if it leads the heart to doubt, disturbance, torments, despondency, darkness, than it does not fulfill its destination and is absolutely false."
~ St. John of Kronstadt, My Life in Christ
Teaching
Northeastern University, Boston, MA
2018 Spring  Calculus 3, for Science and Engineering majors (2 sections) 
Optimization and Complexity, for graduate students  
2017 Fall  Calculus 3, for Science and Engineering majors (2 sections) 
Introduction to Cryptography  
2017 Spring  Calculus 3, for Science and Engineering majors (2 sections) 
Commutative Algebra, for graduate students  
Optimization and Complexity, for graduate students  
2016 Fall  Calculus 3, for Science and Engineering majors (2 sections) 
Linear Algebra  
2016 Summer 1  Advanced Linear Algebra 
2016 Spring  Calculus 3, for Science and Engineering majors (2 sections) 
Optimization and Complexity, for graduate students  
Combinatorial Mathematics  
2015 Fall  Calculus and Differential Equations for Biology majors 1 
Calculus and Differential Equations for Biology majors 2  
Group Theory  
2015 Spring  Calculus 3, for Science and Engineering majors (2 sections) 
Optimization and Complexity, for graduate students  
Calculus and Differential Equations for Biology majors 1  
2014 Fall  Calculus and Differential Equations for Biology majors 1 
Calculus and Differential Equations for Biology majors 2 (2 sections)  
2014 Summer 1  Advanced Linear Algebra 
2014 Spring  Optimization and Complexity, for graduate students 
Calculus and Differential Equations for Biology majors 2\  
2013 Fall  Differential Equations for Science majors 
Calculus, for Business and Economics majors  
Calculus and Differential Equations for Biology majors 2  
2013 Summer 1  Calculus 1 
2013 Spring  Optimization and Complexity, for graduate students 
Commutative Algebra, for graduate students  
2012 Fall  Calculus and Differential Equations for Biology majors 1 
Differential Equations for Science majors  
2012 Summer 1  Advanced Linear Algebra 
2012 Spring  Optimization and Complexity, for graduate students 
Differential Equations for Science majors  
2011 Fall  Differential Equations for Science majors 
Calculus, for Business and Economics majors  
2011 Spring  Differential Equations for Science majors 
2010 Fall  Calculus 1, for Science and Engineering majors, (Honors section) 
Calculus, for Business and Economics majors 
University of Utah, Salt Lake City, UT
2007 Spring  Differential Equations, for Mathematics majors 
2006 Fall  Linear Algebra, for Mathematics majors 
Calculus III  
2006 Spring  Topics in Homological Algebra, for graduate students 
2005 Fall  Quantitative Analysis, for Business and Management majors 
2005 Spring  Linear Algebra, for Mathematics majors 
Calculus II  
2004 Fall  Calculus I 
Purdue University, West Lafayette, IN
2004 Spring  Differential Equations (Lecturer) 
2003 Summer  Calculus II (Lecturer) 
2002 Summer  Differential Equations (Lecturer) 
2001 Spring  Differential Equations and Linear Algebra (Lecturer) 
2000 Fall  Calculus I, for Business and Management majors (Instructor) 
2000 Spring  Calculus II, for Business and Management majors (Instructor) 
1999 Fall  Algebra/Trigonometry (Instructor) 
1999 Spring  Algebra/Trigonometry (Instructor) 
1998 Fall  Calculus II (Recitation Instructor) 
1997 Fall  Calculus I (Recitation Instructor) 
St. Herman of Alaska Christian School, Allston, MA
2012present  Geometry and Various Topics 
20092012  Math 78, Math 87, Algebra 1/2, Algebra 1, Algebra 2, 
Advanced Mathematics, Geometry  
20092012  Math Club for grades 68 
2009present  Coach for MathCounts competitions 
2013present  Geometry Curriculum Development for grades 58 
Research
Research Interests
 Commutative Algebra
 Homological Algebra
Preprints

Free resolutions of Dynkin format and the licci property of grade 3 perfect ideals,with Lars W. Christensen and Jerzy Weyman, Submitted; arXiv:1712.04016, Preprint (2017), 13 pp.
Macaulay2

TorAlgebra,with Lars. W. Christensen; to be implemented in the Macaulay2 version 1.11 (2018); it is replacing CodepthThree (2014)
Papers

The Golod property of powers of the maximal ideal of a local ring,with Lars W. Christensen, & Arch. Math. (2018), https://doi.org/10.1007/s0001301811526, 1  14.

Trimming a Gorenstein ideal,with Lars W. Christensen and Jerzy Weyman, J. Commut. Algebra, Online October (2016), 16 pp.

Local rings of embedding codepth 3. A classification algorithm,with Lars W. Christensen, J. Softw. Algebra Geom. 6 (2014), 18. [Accompanying Macaulay 2 package CodepthThree]

Local rings of embedding codepth 3. Examples,with Lars W. Christensen, Algebras and Representation Theory,
17 (2014), 121  135. 
The index of a numerical semigroup ring,J.Pure Appl. Algebra 217 (2013), no. 10, 19942001.

Growth in the minimal injective resolution of a local ring,with Lars W. Christensen and Janet Striuli, J. London Math. Soc. 81(1) (2010), 24  44.

Comparing complexities of pairs of modules,with Hailong Dao, J. Algebra 322 (2009), 30473062.

A test complex for Gorensteinness,with Lars W. Christensen, Proc. Amer. Math. Soc. 136 (2008), 479  487.

Acyclicity over local rings with radical cube zero,with Lars W. Christensen, Illinois J. of Math 54 (2007), 1439  1454.

Stable cohomology over local rings,with Luchezar L. Avramov, Adv. Math. 213 (2007), 93  139." target ="_blank">

Gorenstein projective dimension for complexes,Trans. Amer. Math. Soc. 358 (2006), 1257  1283.

Construction of modules with finite homological dimensions,J. Algebra 250 (2002), 427  449.
Ph. D. Thesis

Homological dimensions for modules and complexesPurdue University, 2004
Thesis Advisor: Luchezar L. Avramov
Coauthors
Collaborators
Conferences
2018 September  AMS Sectional Meeting, Newark, DE, with E. Celikbas and S. Gunturkun 
2018 April  AMS Sectional Meeting, Boston, MA, with S. SatherWagstaff 
2007 January  AMS National Meeting, New Orleans, LA, with A. Singh and P. Roberts 
2006 October  AMS Sectional Meeting, Salt Lake City, UT, with A. Singh and P. Roberts 
Outreach
Calculus Field Day, Northeastern University
2019, April 9 
