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) 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
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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
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TorAlgebra,with Lars. W. Christensen; to be implemented in the Macaulay2 version 1.11 (2018); it is replacing CodepthThree (2014)
Papers
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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.
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Trimming a Gorenstein ideal,with Lars W. Christensen and Jerzy Weyman, J. Commut. Algebra, Online October (2016), 16 pp.
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Local rings of embedding codepth 3. A classification algorithm,with Lars W. Christensen, J. Softw. Algebra Geom. 6 (2014), 1--8. [Accompanying Macaulay 2 package CodepthThree]
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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.
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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.
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Comparing complexities of pairs of modules,with Hailong Dao, J. Algebra 322 (2009), 3047--3062.
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A test complex for Gorensteinness,with Lars W. Christensen, Proc. Amer. Math. Soc. 136 (2008), 479 - 487.
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Acyclicity over local rings with radical cube zero,with Lars W. Christensen, Illinois J. of Math 54 (2007), 1439 - 1454.
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Stable cohomology over local rings,with Luchezar L. Avramov, Adv. Math. 213 (2007), 93 - 139." target ="_blank">
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Gorenstein projective dimension for complexes,Trans. Amer. Math. Soc. 358 (2006), 1257 - 1283.
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Construction of modules with finite homological dimensions,J. Algebra 250 (2002), 427 - 449.
Ph. D. Thesis
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Homological dimensions for modules and complexesPurdue University, 2004
Thesis Advisor: Luchezar L. Avramov
Co-authors
Collaborators
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 |
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