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Conference of the .... Discrete Mathematics 8e, by R. Johnsonbaugh. (2013). •
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Curriculum Vitae Tyler McMillen POSITIONS • Associate Professor, Department of Mathematics, California State University at Fullerton, Fullerton, CA, 2012 - present. • Visiting Assistant Professor, Mathematical Biosciences Institute, Ohio State University, Columbus, OH, Jan - June 2011 • Assistant Professor, Department of Mathematics, California State University at Fullerton, Fullerton, CA, 2006 - 2012. • Postdoctoral Research Fellow, Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ, 2003 - 2006. EDUCATION • Ph.D. Applied Mathematics, University of Arizona, Tucson, AZ, 2003. – Dissertation: Perversions and whips: Static and dynamic problems of elastic filaments. Advisor: Alain Goriely • M.S. Mathematics, Utah State University, Logan, UT, 1997. • B.S. Mathematics, University of Utah, Salt Lake City, UT, 1995. PUBLICATIONS 1. T. McMillen, J. Xin, Y. Yu and A. Zlatos. Spiral waves, edge transport, and front speed enhancement for ABC flows. In review. 2. A. Bourget and T. McMillen. A First Szeg˝o’s Limit Theorem for a class of non-Toeplitz matrices. Constructive Approximation, in press. 3. T. Williams and T. McMillen. Strategies for swimming: explorations of the behavior of a neuro-musculo-mechanical model of the lamprey. Biology Open, 4, pp 253-258 (2015) 4. C. Diekman, M. Golubitstky, T. McMillen and Y. Wang. Reduction and dynamics of a generalized rivalry network with two learned patterns. SIAM Journal on Applied Dynamical Systems, 11, pp 1270-1309 (2012) 5. T. McMillen, P. Simen and S. Behseta. Hebbian learning in linear-nonlinear networks with tuning curves leads to near-optimal, multi-alternative decision making. Neural Networks, 24, pp 417-426 (2011) 6. A. Bourget and T. McMillen. On the distribution and interlacing of the zeros of Stieltjes polynomials. Proceedings of the American Mathematical Society, 138, pp 3267-3275 (2010) 7. T. McMillen and S. Behseta. On the effects of signal acuity in a multi-alternative model of decision making. Neural Computation, 22, pp 539-580 (2010) 8. T. McMillen. On the eigenvalues of double band matrices. Applications, 431, pp 1890-1897 (2009)
Linear Algebra and its
9. A. Bourget and T. McMillen. Spectral inequalities for the quantum asymmetrical top. Journal of Physics A: Mathematical and Theoretical, 42, no. 9 (2009) 10. A. Bourget, T. McMillen and A. Vargas. Interlacing and non-orthogonality of spectral polynomials for the Lam´e operator. Proceedings of the American Mathematical Society, 137, pp 1699-1710 (2009) 11. T. McMillen, A. Bourget and A. Agnew. On the zeros of complex Van Vleck polynomials. Journal of Computational and Applied Mathematics, 223, pp 862-871 (2009) 12. T. McMillen, T. Williams and P. Holmes. Nonlinear muscles, passive viscoelasticity and body taper conspire to create curvature waves in anguilliform swimmers. PLoS Computational Biology, 4(8): e1000157 (2008) 13. T. McMillen and P. Holmes. An elastic rod model for anguilliform swimming. Journal of Mathematical Biology, 53, pp 843-886 (2006) 14. T. McMillen and P. Holmes. The dynamics of choice among multiple alternatives. Journal of Mathematical Psychology, 50, pp 30-57 (2006) 15. T. McMillen and A. Goriely. Whip waves. Physica D, 184, pp 192-225 (2003) 16. A. Goriely and T. McMillen. The shape of a cracking whip. Physical Review Letters, 88, no. 244301 (2002) 17. T. McMillen and A. Goriely. Tendril perversion in intrinsically curved rods. Journal of Nonlinear Science, 12, pp 241-281 (2002) 18. J. Powell, T. McMillen, and P. White. Connecting a chemotactic model for mass attack to a rapid integro-difference emulation strategy. SIAM Journal on Applied Mathematics, 59, pp 547-572 (1999)
POSITIONS, TEACHING EXPERIENCE • Assistant Professor, Department of Mathematics, California State University at Fullerton, 8/2006 - 6/2012, Associate Professor 6/2012 - current – ESM 30A: Intermediate Algebra (Summer 2014, Summer 2015) – ESM 40: Intermediate Algebra (online) (Summer 2013) – Math 150A: Calculus I (Spring 2008, Fall 2009) – Math 150B: Calculus II (Fall 2011, Fall 2014) – Math 250A: Multivariate Calculus (Summer 2009, Fall 2010, Fall 2011, Fall 2012, Spring 2014, Spring 2015) – Math 250B: Intro to Linear Algebra and Differential Equations (Summer 2007, Spring 2010, Summer 2013, Fall 2013) – Math 270A: Mathematical Stuctures I (Fall 2006, Spring 2009) – Math 270B: Mathematical Structures II (Spring 2007) – Math 307: Linear Algebra (Fall 2015) – Math 310: Ordinary Differential Equations (Spring 2008, Spring 2009, Spring 2012) 2
– Math 320: Introduction to Mathematical Computation (Fall 2009, Spring 2010, Spring 2014) – Math 340: Numerical Analysis (Fall 2006, Spring 2007) – Math 350: Advanced Calculus (Summer 2014) – Math 370: Mathematical Model Building (Fall 2015) – Math 406: Partial Differential Equations (Spring 2015) – Math 440: Advanced Numerical Analysis (Fall 2010, Fall 2012, Fall 2014) – Math 489AB: Applicable Linear Algebra and Linear Analysis (Fall 2007, Fall 2008, Fall 2013) – Math 501AB: Numerical Analysis (Spring 2012, Spring 2016) – Math 503B: Mathematical Modeling II (Summer 2010, Summer 2011) – Math 597: Applied Math Masters Project (Summer 2012) • Postdoctoral Research Fellow, Program in Applied and Computational Mathematics, Princeton University, 8/2003 - 6/2006. – MOL/APC 360: Biological Dynamics (Spring 2005, Spring 2006) • Graduate Teaching Assistant, Program in Applied Mathematics, University of Arizona, Tucson, AZ, 8/1997 - 6/2003 – Business Calculus, Calculus, College Algebra, Trigonometry (5 semesters) • Graduate Teaching Assistant, Department of Mathematics and Statistics, Utah State University, Logan, UT, 8/1995 - 5/1997 – Intermediate Algebra, College Algebra (6 quarters)
PRESENTATIONS • Toward a Second Szeg˝ o’s Limit Theorem for VMV matrices. AMS Sectional Meeting. CSU Fullerton. Oct 24, 2015 • Toward a Second Szeg˝ o’s Limit Theorem for VMV matrices. SIAM Conference on Orthogonal Polynomials, Special Functions and their Applications. NIST. June 5, 2015. • Patterns of oscillation in a generalized rivalry network. USA-Uzbekistan Conference on Analysis and Mathematical Physics, Cal State Fullerton, May 20, 2014 • Differential equations, networks and rivalry. Fullerton College Mathematics Colloquium, May 6, 2014 • Rivalry between patterns in a network. Applied and Computational Math Seminar. University of California at Irvine, April 4, 2014 • Rivalry between patterns in a network. Analysis Seminar. Cal State Fullerton, Mar 27, 2014 • Strategies for swimming: Explorations of a neuro-musculo-mechanical model of the lamprey. SIAM Conference on Applications of Dynamical Systems. Snowbird, UT. May 21, 2013
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• Organizing centers for rivalry between two patterns. SIAM Conference on the Life Sciences. San Diego, CA. Aug 7, 2012 • Learning to decide (nearly) optimally. Mathematical Biosciences Institute Postdoc Seminar, Ohio State University. March 3, 2011 • Muscle activation to movement in eel-like swimmers. Applied Mathematics Colloquium, University of Arizona, Nov. 13, 2009 • Transfinite diameter of constant width sets. Department of Mathematics Analysis Seminar. California State University at Fullerton, December 12, 2008 • Eigenvalue perturbations and electrostatics. Department of Mathematics Analysis Seminar. California State University at Fullerton, October 10, 2008 • Phase coupling between activation and curvature in lamprey swimming. With T. Williams and P. Holmes. Mathematical Biosciences Institute at The Ohio State University workshop on Neuromechanics of Locomotion. April 1, 2008 • Nonlinear muscles, viscoelasticity and body taper in the creation of curvature waves in anguilliform swimmers. SIAM Conference on the Analysis of PDEs. Phoenix, AZ. Dec. 10, 2007 • From muscle activation to movement: A combined model of anguilliform swimming. Applied and Computational Mathematics Seminar. Tulane University. Nov. 16, 2007 • Mathematical Problems of Decision Making. Department of Mathematics Colloquium, California State University at Fullerton, April 25, 2007. • “A model for anguilliform swimming, or, a rod with a mind of its own.” (poster) T. McMillen and P. Holmes. International Workshop on Applied Dynamical Systems. Universit´e de Mont´eal, Oct. 15, 2005 • The dynamics of choice. University. Oct. 15, 2004 • Perversions and whips. University. Sep. 19, 2003
Dynamical Systems/Nonlinear Science Seminar.
Princeton
Dynamical Systems/Nonlinear Science Seminar.
Princeton
• “Whip Waves.” (poster) T. McMillen and A. Goriely. Nonlinear Equations, Mechanics and Bifurcation Conference. Duke University, May 20, 2002 • “Perversion in intrinsically curved rods.” (poster) T. McMillen and A. Goriely. SIAM Conference on Applications of Dynamical Systems, Snowbird, UT. • Homoclinic collapse in the statics of rods with intrinsic curvature. Arizona Days Conference, Center for Nonlinear Studies, Los Alamos National Laboratory, Jan 28, 2000 • “Bugs in space.” (poster) T. McMillen and J. Powell. SIAM Conference on Applications of Dynamical Systems, Snowbird, UT. May, 1997. FELLOWSHIPS, AWARDS • Mathematical Biosciences Institute at Ohio State University, Early Career Visitor Award, Jan - Jun 2011 4
• California State University at Fullerton, Recognition for Outstanding Scholarly and Creative Activity, Spring 2010 • California State University at Fullerton Incentive Program Award, Spring 2009 • California State University at Fullerton untenured faculty development grant, Spring 2007. • National Science Foundation Postdoctoral Fellowship in the Mathematical Sciences, 2003 2006. • May 2001, James Yorke Red Socks Award for best poster at SIAM Conference on Applications of Dynamical Systems. MEMBERSHIPS • American Mathematical Society, Providence, RI. • Society for Industrial and Applied Mathematics, Philadelphia, PA. PROFESSIONAL ACTIVITIES AND SERVICES • Reviewed the books – Simulation and Inference for Stochastic Differential Equations: With R Examples, by S.M. Iacus. The review appeared in Journal of Statistical Software, Book Reviews. Vol 26, no. 2: pp 1-3 (2008) – Discrete Mathematics, 7th ed., by R. Johnsonbaugh • Refereed articles for the following journals: – Journal of Fluid Mechanics, 2007 – Physica D: Nonlinear Phenomena, 2008 – Journal of Computational and Applied Mathematics, 2009 – Journal of the Royal Society Interface, 2009 – Neural Computation, 2010 – Journal of Mathematical Biology, 2010 – Journal of Approximation Theory, 2011 – Psychonomic Bulletin & Review, 2011 – PLoS Computational Biology, 2013 – Journal of the Royal Society Interface, 2013 – Journal of the Royal Society Interface, 2014 – Journal of Computational and Applied Mathematics, 2016 • Departmental committee service: – Computing Affairs/Website Committee (2006-2007) – Computing Affairs (2007-2008, 2008-2009, 2009-2010) – Website Committee (2009-2010, 2011-2012) – Graduate Committee - Applied (2006-2007, 2008-2009, 2009-2010, 2010-2011, 2011-2012) 5
– Research Committee (2006-2007, 2007-2008, 2010-2011) – Curriculum Committee (2008-2009, 2009-2010, 2011-2012, 2013-2014) – Advising Committee (2010-2011) • University committee: Internships and Service Learning Committee (2013-2016). Chair from 2014-16. • Other service activities – Poster for Dan Black Hall dedication (2007) – Presentation for Kids to College Day (20 February 2009)
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