Mark Gerard Walsh. Curriculum Vitae

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1 Walsh, Mark Gerard/Curriculum Vitae/ Mark Gerard Walsh Curriculum Vitae Kidder Hall 362 Corvallis OR USA Citizenship: Ireland Visa: US Permanent Resident (971) (Cell) (541) (Office) Education: - Ph.D in Mathematics, University of Oregon, June 2009 Title: Metrics of Positive Scalar Curvature and Generalised Morse Functions Advisor: Boris Botvinnik - M.Sc. in Mathematics, National University of Ireland Maynooth, Higher Diploma (First Class Honours), NUI Maynooth, 2000 Papers: - Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part 1, Memoirs of the AMS 209 (2011), no. 983 [100 pages] - Homotopy Groups of the Moduli Space of Metrics of Positive Scalar Curvature co-authored with B. Botvinnik, B. Hanke and T. Schick, Geometry and Topology 14 (2010) [29 pages] - Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part 2, Transactions of the AMS (to appear) [50 pages] - Cobordism Invariance of the Homotopy Type of the Space of Positive Scalar Curvature Metrics, Proceedings of the AMS (to appear) [10 pages] - Preserving Isotopy Type under Surgery on Metrics of Positive Scalar Curvature, joint work with M. Joachim (in preparation) - Cobordism Categories and the Gromov-Lawson Construction, joint work with B. Botvinnik (in preparation) - An Action of the Spin Cobordism Ring on a Space of psc-metrics (in preparation) Academic Positions: Research Interests: - Visiting Assistant Professor,, Fall 2010-present - Postdoctoral Researcher, University of Münster, Fall 2009-Fall Graduate Teaching Fellow, University of Oregon, Fall 2002-Spring Visiting Scholar, University of Münster, Spring 2008 and Spring Visiting Scholar, KTH Stockholm, Fall Teaching Assistant/Demonstrator, NUI Maynooth, Geometric Analysis: Positive Scalar Curvature, Conformal Geometry - Differential Topology: Morse Theory, Surgery and Cobordism Theory - Algebraic Topology: K-Theory, Characteristic Classes - Mathematical Biology: Measuring Plant Foliage and Root Surface Area 1

2 Awards: - D. K. Harrison Award for Best PhD Thesis, University of Oregon NSF Research Grant, Summer Johnson Fellowship Award, University of Oregon NUI Research Studentship, NUI Maynooth Irish Young Scientists Competition, 3 First Place awards in Physical and Mathematical Sciences category, 1991, 1992, 1994 Some Invited Lectures: - Cascade Topology Seminar, Portland State University, Fall 2011 Generalised Morse Functions and Positive Scalar Curvature - Lewis and Clark College, Portland OR, Fall 2011 Topology, Triangles and the Theorem of Toponogov - AMS Sectional Meeting, Holy Cross College, Worcester MA, Spring 2011 The Moduli Space of Metrics of Positive Scalar Curvature - University of Portland, Colloquium, Fall 2010 Finding the Right Geometry - Willamette University, Colloquium, Fall 2010 The Theorem of Gauss-Bonnet -, Colloquium, Fall 2010 Scalar Curvature and Topology - Pacific Northwest Geometry Seminar, Eugene, Fall 2010 Understanding the Space of Positive Scalar Curvature Metrics - Conference on Scalar Curvature, Geometry and Topology, Münster, Fall 2010 Surgery, Positive Scalar Curvature and Generalised Morse Functions - Workshop on Infinite-Dimensional Lie Groups, Zaferna, Austria, Spring 2010 The Structure of Diffeomorphism Groups - University of Münster, Seminar on the Atiyah-Singer Index Theorem, Winter 2010 Applications of the Index Theorem in Positive Scalar Curvature - University of Göttingen, Topology Seminar, Spring 2009 Morse Theory, Wrinkles and Positive Scalar Curvature - San Diego, AMS Joint Meetings, January 2008 Gromov-Lawson Concordance implies Isotopy - KTH Stockholm, Topology Seminar, Fall 2007 Unfolding Birth-Death Singularities - NUI Galway, Irish Geometry Conference, Spring 2007 The Space of Generalised Morse Functions - University of Oregon, Basic Notions Seminar, Spring 2006 Exotic Spheres - University of Oregon, Teaching Seminar, Winter 2004 Writing Mathematics - NUI Maynooth, Physics Department, Diploma Talk, Spring 2000 Back Propagation Networks and the Hopfield Neural Network 2

3 Attended Conferences: Teaching Experience: - Scalar Curvature, Topology and Geometry University of Münster, Fall Algebra and Topology: Methods, Computations and Science University of Münster, Spring Irish Geometry Day NUI Maynooth, Spring Workshop on Infinite Dimensional Lie Groups Zaferna, Austria, Spring Cascade Topology Seminar Regular attendee from Fall Pacific Northwest Geometry Seminar Regular attendee from Fall Surgery and Manifold Theory Conference celebrating Andrew Ranicki s 60th birthday University of Münster, Spring Irish Geometry Conference NUI Galway, Spring Riemannian Topology and Geometric Structures on Manifolds Conference celebrating Charles Boyer s 65th birthday University of New Mexico, Fall (2010-present): Standard courses lectured Math 679: Differential Topology (based on text by Guillemin and Pollack) Math 534/535: Differential Geometry (based on Barrett O Neill s text) Math 341/342: Linear Algebra I, II Math 255: Vector Calculus II Math 232: Discrete Mathematics II - (2010-present): Non-standard courses lectured Math 355: Discrete Mathematics Through Guided Discovery (Moore method) Students learned by working on problems in class. Math 333: Knots and Surfaces (based around text by Colin Adams) Writing Intensive Class, each student wrote an expository paper. - University of Münster ( ) Assisted with, lectured in Graduate Student Seminar on Atiyah-Singer Index Theorem Graduate Student Workshop on Infinite Dimensional Lie Groups - University of Oregon ( ): Lectured Math 256: Ordinary Differential Equations Math 241/242, 251/252: Differential and Integral Calculus Math 107/111/112: Concepts in Calculus, College Algebra, Trigonometry - NUI Maynooth ( ): Teaching Assistant/Demonstrator for Calculus, Statistics, Linear Algebra, Operations Research, Risk Analysis, Differential Equations, Complex Analysis, Number Theory, Maple 3

4 Mentoring Experience: - Joshua Kincaid, Masters at OSU under T. Dray Served on committee and worked with student ( present) - Pongdate Montagantirud, PhD at OSU under C. Escher Served on committee and worked with student ( present) Academic Service: Computer Skills: - Assisted with Undergraduate Research Program (REU), OSU Summer Participated in Student Writing Seminar, OSU Winter Chairman for talks during Irish Geometry Conference, Maynooth Chairman for Geometry Section of AMS Joint Meetings, San Diego, Course Co-ordinator for pre-calculus Courses, University of Oregon, Winter Organiser of Homotopy Theory Seminar, University of Oregon, Coach, Proctor, Irish Math Olympiad training, Post-graduate Student Representative, NUI Maynooth SU Organiser, Irish Mathematical Students Annual Conference Organiser, Cumann De Brun, NUI Maynooth Math Society, C, designed and coded neural networks, Physics Project, NUI Maynooth Maple, demonstrated Maple courses, NUI Maynooth Xfig/Winfig, have substantial experience in creating Mathematical pictures - Webassign/Webwork, used computerised homework/grading systems 4

5 References: Boris Botvinnik (Advisor) University of Oregon Eugene OR (541) James Isenberg University of Oregon Eugene OR (541) Michael Joachim Mathematik und Informatik WWU Münster Einsteinstr Münster Germany +49 (251) Thomas Schick Mathematisches Institut Bunsenstr. 3 D Göttingen Germany +49 (551) thomas.schick@uni-math.gwdg.de David Wraith NUI Maynooth Ireland David.Wraith@nuim.ie Christine Escher (541) tine@math.orst.edu Thomas P. Dick (Teaching) (541) tpdick@math.oregonstate.edu Tevian Dray (Teaching) (541) tevian@math.oregonstate.edu 5

James Dilts. Department of Mathematics University of California, San Diego ccom.ucsd.edu/~jdilts

James Dilts. Department of Mathematics University of California, San Diego ccom.ucsd.edu/~jdilts James Dilts Department of Mathematics University of California, San Diego jdilts@ucsd.edu Appointments ccom.ucsd.edu/~jdilts Postdoctoral Scholar and Lecturer, UC: San Diego, July 2015 Present. Education