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 and Sarah M. Harmon, “Sensory Conflict Compared in Microgravity, Artificial Gravity, Motion Sickness, and Vestibular Disorders” Journal of Vestibular Research 22 (2012) 81-94.
  • Jan E. Holly, Saralin M. Davis, Kelly E. Sullivan, “Differences between Perception and Eye Movements during Complex Motions” Journal of Vestibular Research 21 (2011) 193-208.
  • 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.
David Krumm Research Area: Number Theory, Arithmetic Dynamics
Selected Publications:

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.
Lu Lu Research Area: Nonparametric function estimation, empirical processes
Selected Publications:

  • On the integrated squared error of the wavelet density estimator Journal of Statistical Planning and Inference, 143 (2013),1548-1565.
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.
Jim Scott Research Area: Statistics, Epidemiology
Selected Publications:

  • Bellan SE, Pulliam JRC, Scott JC, Dushoff J. “How to Make Epidemiological Training Infectious.” PLoS Biology 2012; 10(4)
  • Hanson LA, Zahn EZ, Wild SR, Dopfer D, Scott JC, Stein C. “Estimating global mortality from potentially foodborne diseases – an analysis using vital registration data.” Population Health Metrics 2012; 10:5.
  • Eisenberg JNS, Goldstick J, Cevallos W, Trueba G, Levy K, Scott J, Percha B, Segovia R, Ponce K, Hubbard A, Marrs C, Foxman B, Smith DL, Trostle J. “In-roads to the spread of antibiotic resistance: regional patterns of microbial transmission in northern coastal Ecuador.” Journal of the Royal Society Interface 2011. doi: 10.1098/rsif.2011.0499.
Scott Taylor Research Area: Knot Theory, Geometric Topology
Selected Publications:

  • Exceptional and cosmetic surgeries on knots (with Blair, Campisi, Johnson, Tomova). Accepted by Mathematische Annelen (2016).
  • New examples of Brunnian theta graphs (with Jang, Kronaeur, Luitel, Medici, Zupan). Accepted by Involve (2015).
  • Distance 2 links (with Blair, Campisi, Johnson, Tomova). Geometriae Dedicata, 2015
Nora Youngs Research Areas: Applied Algebraic Geometry and Mathematical Neuroscience