Oana Veliche

Teaching Professor of Mathematics

Northeastern University

  • Title: Assistant Teaching Professor, PhD
  • Office: 543 Lake Hall, Mathematics Department
  • Mailing Address: 360 Huntington Ave., Boston, MA 02115
  • Email: o.veliche@northeastern.edu
  • Phone: (617) 373-5537

"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

2012-present Geometry and Various Topics
2009-2012 Math 78, Math 87, Algebra 1/2, Algebra 1, Algebra 2,
Advanced Mathematics, Geometry
2009-2012 Math Club for grades 6-8
2009-present Coach for MathCounts competitions
2013-present Geometry Curriculum Development for grades 5-8

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/s00013-018-1152-6, 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), 1--8. [Accompanying Macaulay‚ÄČ2 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, 1994--2001.
  • 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), 3047--3062.
  • 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.
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  • 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 complexes
    Purdue University, 2004

    Thesis Advisor: Luchezar L. Avramov

Conferences

2018 September AMS Sectional Meeting, Newark, DE, with E. Celikbas and S. Gunturkun
2018 April AMS Sectional Meeting, Boston, MA, with S. Sather-Wagstaff
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
  • Information:
  • Past Exams: