Our faculty are active researchers, publishing both research papers and textbooks. Some have student co-authors! Here is a selection of recent publications by our some of our continuing faculty. For more information on each faculty member, check out their webpage. For more information on research with students, check out these pages.

Selected Faculty Research
Otto Bretscher Research Area: Mathematics Education, Linear Algebra
Selected Publications:

  • Linear Algebra with Applications 5th edition, Pearson (2012)
Fernando Gouvêa Research Area: Number Theory, Algebraic Geometry, History of Mathematics, Expository Writing in Mathematics
Selected Publications:

  • Math through the Ages, expanded second edition, with William P. Berlinghoff. Oxton House and Mathematical Association of America, 2015.
  • “Was Cantor Surprised?” The American Mathematical Monthly, 118 (March, 2011), 198–209. Reprinted in Best Writing in Mathematics 2012, ed. Mircea Pitici, Princeton University Press, 2012.
  • “Quadratic Twists of Rigid Calabi-Yau Threefolds over ℚ,” in Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds, ed. Radu Laza, Matthias Schütt and Noriko Yui, Fields Institute Communications, 67, Springer, 2013, 517–533.
Jan Holly Research Area: Mathematical Neuroscience, Logic, Algebra
Selected Publications:

  • Jan E. Holly, M. Arjumand Masood, Chiran S. Bhandari. “Asymmetries and Three-Dimensional Features of Vestibular Cross-Coupled Stimuli Illuminated through Modeling” Journal of Vestibular Research 16 (2016) 343-358.
  • Jan E. Holly, Scott J. Wood, Gin McCollum. “Phase-Linking and the Perceived Motion during Off-Vertical Axis Rotation” Biological Cybernetics 102 (2010) 9-29.
  • Jan E. Holly. “Pictures of Ultrametric Spaces, the p-adic Numbers, and Valued Fields” The American Mathematical Monthly 108 (2001) 721-728.
Leo Livshits Research Area: Matrix Analysis, Linear Algebra, Operator Theory
Selected Publications:

  • Livshits, L. ; MacDonald, G. W. ; Marcoux, L. W. ; Radjavi, H. “A spatial version of Wedderburn’s principal theorem.” Linear Multilinear Algebra 63 (2015), no. 6, 1216–1241.
  • Livshits, L. ; MacDonald, G. ; Marcoux, L. W. ; Radjavi, H. “Paratransitive algebras of linear operators II.” Linear Algebra Appl. 439 (2013), no. 7, 1974–1989.
  • Livshits, L. ; MacDonald, G. ; Marcoux, L. W. ; Radjavi, H. “Paratransitive algebras of linear operators.” Linear Algebra Appl. 439 (2013), no. 7, 1955–1973.
Ben Mathes Research Area: Functional Analysis, Operator Theory, Linear Algebra
Selected Publications:

  • Hawkins, K.; Hebert-Johnson, U.; Mathes, B. “The Fibonacci identities of orthogonality” to appear in Linear Algebra and Its Applications.
  • Mathes, B. ; Xu, Y. “Rings of Uniformly Continuous Functions” Int. J. Contemp. Math. Sciences (2014), pp. 309 – 312
  • Dixon, J.; Goldenberg, M. ; Mathes, B. ; Sukiennik, J. Linear Algebra and Its Applications (2014), pp. 177-187
Liam O’Brien Research Area: Biostatistics, Public Health
Selected Publications:

  • R. St. Laurent, L.M. O’Brien, S.T. Ahmad. “Sodium butyrate improves locomotor impairment and early mortality in a rotenone-induced drosophilia model of Parkinson’s disease.” Neuroscience, 246: 382-390, 2013.
  • M. Polacksek, J. Orr, L.M. O’Brien, V.W. Rogers, J. Fanberg, S.L. Gortmaker. “Sustainability of Key Maine Youth Overweight Collaborative Improvements: A Follow-Up Study.” Childhood Obesity, 10: 326-333, 2014.
  • A.B. O’Connor, L. O’Brien, W.A. Alto, J. Wong. “Does concurrent in utero exposure to buprenorphine and antidepressant medications influence the course of neonatal abstinence syndrome?” The Journal of Maternal-Fetal & Neonatal Medicine, 10: 1-3, 2014.
Evan Randles Research Area: Analysis, Probability, PDEs, Mathematical Physics
Selected Publications:

  • On the Convolution Powers of Complex Functions on Z (with Laurent Saloff-Coste), Journal of Fourier Analysis and Applications   (2015)
  • Convolution Powers of Complex Functions on Zd (with Laurent Saloff-Coste), Revista Matemática Iberoamericana, (2017)
  • Positive-homogeneous operators, heat kernel estimates and the Legendre-Fenchel transform (with Laurent Saloff-Coste), Stochastic Analysis and Related Topics: A Festschrift in Honor of Rodrigo Bañuelos. Progress in Probability. (2017)
Jim Scott Research Area: Statistics, Epidemiology
Selected Publications:

  • NS Shah, A. Flood-Bryzman, C. Jeffries, and J. Scott. “Towards a Generation Free of Tuberculosis: TB disease and Infection in Individuals of College Age in the United States”. Journal of American College Health (2018). 
  • Scott JC, Shah N, Porco T, Flood J. “Cost Resulting from Anti-Tuberculosis Drug Shortages in the United States: A Hypothetical Cohort Study”. PLoS ONE (2015).
  • Bellan SE, Pulliam JRC, Scott JC, Dushoff J. “How to Make Epidemiological Training Infectious”. PLoS Biology (2012).
Scott Taylor Research Area: Knot Theory, Geometric Topology
Selected Publications:

  • Exceptional and cosmetic surgeries on knots (with Blair, Campisi, Johnson, Tomova). Mathematische Annalen (2017).
  • Thin position for knots, links and graphs in 3-manifolds (with Tomova) Algebraic & Geometric Topology (2018)
  • Additive invariants for knots, links and graphs in 3-manifolds (with Tomova) Geometry & Topology (2018)
Nora Youngs Research Areas: Applied Algebraic Geometry and Mathematical Neuroscience

  • E. Gross, N. Kazi Obatake, and N. Youngs,  Neural ideals and stimulus space visualization 2017, Advances in Applied Mathematics, to appear.
  • C. Curto, E. Gross, J. Jeffries, K. Morrison, M. Omar, Z. Rosen, A. Shiu, and N. Youngs, What makes a neural code convex?,SIAM Journal of Applied Algebra and Geometry, Vol 1 (2017) 222-238.
  • C. Curto, V. Itskov, A. Veliz-Cuba, and N. Youngs. The neural ring: an algebraic tool for analyzing the intrinsic structure of neural codes. Bull. Math. Biol., 75 (2013) no. 9, 1571–1611.