Mark DeBonis

Assistant Professor


Mark DeBonis began his academic career as a theoretical mathematician with associated publications. He then decided to make a career change and pursue topics in applied mathematics. He worked at Los Alamos National Laboratory (DOE) on the Cybersecurity Team which tackled problems involving Machine Learning, Electronic Media and Cryptography. He then worked for the Booz Allen consulting firm where he assisted DOD on Signal Processing and Binary Detection as it relates to Underground Facilities. He teaches the Non-Linear Optimization and Machine Learning courses for Manhattan College’s M.S. in Applied Mathematics-Data Analytics program. He brings more than 20 years of teaching experience at the university level to this role.


University of California, Irvine - Ph.D. in Mathematics
University of California, Irvine - M.S. in Mathematics
Biola University - B.S. in Mathematics

Courses Taught

CMPT 464      Machine Learning

MATH 100      Pre Calculus Mathematics

MATH 154      Business Calculus

MATH 185      Calculus I

MATH 186      Calculus II

MATH 187      Calculus I Honors

MATH 188      Calculus II Honors

MATH 272      Linear Algebra I

MATH 285      Calculus III

MATH 286      Differential Equations

MATH 287      Calculus III Honors

MATH 313      Analysis I

MATH 331      Probability

MATH 462      Machine Learning

MATH 491      Nonlinear Optmization


  • Research

    Computational Algebraic Geometry (solving multi-polynomial systems) and applications of Statistics to Machine Learning.

  • Publications and Scholarly Activities

    i. The XL Algorithm and Polynomial Time (with G. Bard), in preparation.
    ii. Modeling Data of Unbounded Skew (with I. Gerhardt), in preparation
    iii. Reducing the Homogeneous Degree of a Square Multi-polynomial System, submitted to Journal of Mathematical Cryptology
    iv. Rates of Bark Formation on Surfaces of Saguaro Cacti (Carnegiea gigantea) (with L. Evans & L. Barton), submitted to Journal of the Torrey Botanical Society.
    v. Benchmarking Software for Solving Multi-polynomial Systems (with R. Schmidt), Computers in Education Journal 2016, Vol XXVI, No. 1.
    vi. Using Skew for Classiers, Int. J. of Pattern Recognition and Articial Intelligence, 2015, Vol. 29, No. 03.
    vii. Epidermal Browning of Saguaro Cacti (Carnegiea gigantea): Results over a four-year period (with L. Evans), Journal of the Torrey Botanical Society, 2015, Vol. 142, Issue 03.
    viii. The Maximal Direction Of Any Nth Order Moment, Int. J. of Math. and Stats. 2014, Vol. 15, Issue 2, pp. 1-9.
    ix. There are 2^Alelph0 many almost strongly minimal generalized n-gons that do not interpret an infinite group (with Nesin), J. Symbolic Logic, June 1998, v. 63 #2
    x. On CN-groups of finite Morley rank (with Nesin), J. London Mathematical Society, (2) 50 (1994) 532-546.
    xi. On split Zassenhaus groups of mixed characteristic and of finite Morley rank (with Nesin), J. London Mathematical Society, (2) 50 (1994) 430-439.
    xii. CIT-groups of finite Morley rank (I) (with Borovik and Nesin), J. Algebra, April 15, 1994, v. 165 #2, pp. 258-272.
    xiii. On a class of doubly transitive omega-stable groups (with Borovik and Nesin), J. Algebra, April 15, 1994, v. 165 #2, pp. 245-257.

  • Professional Experience and Memberships

    Tenure-track Assistant Professor at Manhattan College (2012 - present)
    Visiting Assistant Professor at Manhattan College (2009 - 2011)
    Adjunct Assistant Professor at CUNY Bronx Community College (2011)
    Associate Level 3 at Booz Allen Hamilton (2007 - 2009)
    Technical Sta Member at Los Alamos National Laboratory (2005 - 2007)
    Full-time Lecturer at UC, Irvine (2000 - 2004)
    Assistant Professor at Community College of Baltimore County, Essex (1998 - 2000)
    Lecturer at Towson University (1999 - 2000)
    Lecturer at University of Maryland, Baltimore County (1999).
    Lecturer at UC, Irvine (1995 - 1998)
    Instructor at Saddleback Community College (1991 - 1998)
    Post-Doctoral position at the Mathematical Institute in Florence, Italy (1994 - 1995).

    • Active member of Foundations of Computational Mathematics (FoCM), December 2014 –
    • Active regular member of SIAM, January 2016 –
    • Active group member of SIAG on Data Mining and Analytics Membership, January 2016 –
  • Honors, Awards, and Grants
    • Summer Research Grant at Manhattan College (2014)
    • Excellence in Teaching Award at UC, Irvine (2002)
    • Post-Doctoral Fellowship (Italian National Council of Research), Math. Institute in Florence, Italy (1994-95).
    • UC, Irvine Math Department's Teacher's Assistant of the Year (1990-91 academic year).
    • Graduate Representative for the Physical Science Steering Committee at UC, Irvine (1988-89 academic year).
    • Regents Scholarship at UC, Irvine, (1986-87 academic year).
    • Elected to Delta Epsilon Chi society upon graduation at Biola University (1984).
    • National Dean's List (1981-84).
    • Biola University Scholarships (1981-84).
  • Other

    Painting (gouache and ink), Piano playing and composition (classical, jazz), Novel writing (young adult), Poetry writing