William R. Green - Rose

5500 Wabash Ave.
Terre Haute, IN 47803
T 217.390.1365
B [email protected]
William R. Green
www.rose-hulman.edu/~green/
Education
2010
2006
2005
Ph.D., Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL.
MS, Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL.
BA, Mathematics and Physics, minor in Chemistry, Albion College, Albion, MI.
Academic Positions
2012-current
2010-2012
Assistant Professor, Rose-Hulman Institute of Technology, Terre Haute, IN.
Assistant Professor, Eastern Illinois University, Charleston, IL.
Publications
11)
10)
9)
8)
7)
6)
5)
4)
3)
2)
1)
Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues
II: the even dimensional case, with Michael Goldberg, To appear in the Journal of Spectral Theory,
48pp.
Dispersive estimate for four dimensional Schrödinger and wave equations with obstructions at
zero energy, with M. Burak Erdoğan and Michael Goldberg, Communications in Partial Differential
Equations, Vol. 39, no. 10, 1936–1964.
Time decay estimates for the wave equation with potential in dimension two, Journal of Differential Equations 257 (2014), 868-919.
Dispersive estimates for two-dimensional matrix Schrödinger operators, with M. Burak Erdoğan,
Discrete & Continuous Dynamical Systems – Series A, Volume 33, Issue 10, 4473–4495.
A weighted dispersive estimate for two-dimensional Schrödinger operators, with M. Burak
Erdoğan, Communications in Mathematical Physics 319 (2013), 791–811.
Dispersive estimates for two-dimensional Schrödinger operators with obstructions at zero energy, with M. Burak Erdoğan, Transactions of the American Mathematical Society 365 (2013), 64036440.
Integrating factors and repeated roots to the characteristic equation, with Howard Dwyer, CODEE
Journal, January 2012. URL http://www.codee.org/ref/CJ12-0930.
Dispersive estimates for the matrix and scalar Schrödinger equation in dimension five, Illinois
Journal of Mathematics Volume 56, Number 2 (2012), 307–341.
Using Abel’s Theorem to explain repeated roots of the characteristic equation, CODEE Journal,
July 2011. URL http://www.codee.org/ref/CJ11-0679.
Abel’s Theorem simplifies reduction of order, College Mathematics Journal Vol. 42, no. 5, Nov.
2011, pp. 399-402.
n−3
Dispersive Estimates for the Schrödinger Equation for C 2 Potentials in Odd Dimensions,
with M. Burak Erdoğan, International Mathematics Research Notices 2010:13, 2532–2565. doi:
10.1093/imrn/rnp221.
Preprints
Exponential decay for dispersion managed solitons for general dispersion profiles, with Dirk
Hundertmark, submitted 2014, 24pp.
1/5
Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues
I: the odd dimensional case, with Michael Goldberg, submitted 2014, 47pp.
Teaching Experience
2012-current
2010-2012
2005-2010
2003-2005
Assistant Professor, Rose-Hulman Institute of Technology, Department of Mathematics.
• Multi-variable Calculus, Differential Equations, Matrix Algebra and Systems of Differential Equations,
Linear Algebra, Real Analysis, Complex Analysis, Introduction to Partial Differential Equations.
Assistant Professor, Eastern Illinois University, Department of Mathematics and Computer Science.
• Pre-Calculus, Calculus I, Calculus II, Calculus III, Differential Equations, Graduate Student Seminar.
Graduate Teaching Assistant, University of Illinois at Urbana-Champaign, Department of Mathematics.
• Calculus I (large lecture), Calculus II (active learning), A Mathematical World, Finite Mathematics
for the Social Sciences, Business Calculus (TA), Calculus II (TA).
Tutor, Quantitative Skills Center, Albion College.
• tutored mathematics, physics and chemistry.
Courses Developed
2011
Graduate Student Seminar
This course focused on effective communication of mathematics; students gave a series of mathematical
presentations of varying lengths while learning the LaTeX typesetting language. In addition, students
were exposed to non-standard mathematical topics and research problems through a series of faculty
presentations. Eastern Illinois University, Department of Mathematics and Computer Science.
Research Interests and Experience
2010
2006
2004
2003
Interests: My research interests lie in partial differential equations and mathematical physics. I am
particularly interested in oscillatory integrals and their applications to the analysis of dispersive PDEs.
Ph.D. Thesis, “Dispersive estimates for the Schrödinger Equation”, advised by M. Burak Erdoğan.
Research Experience for Graduates, University of Illinois at Urbana-Champaign.
Undergraduate Reseach Intern, Argonne National Laboratory, Mathematics and Computer Science
Department.
Undergraduate Reseach Intern, Albion College, Physics Department.
Talks Given
2014
2013
2012
Departmental Colloquia: Albion College.
Seminars: Wayne State University – PDE Seminar, Rose-Hulman (twice).
Conferences: Ohio River Analysis Meeting.
Departmental Colloquia: Georgia Southern University.
Seminars: Indiana University – PDE/Applied Math Seminar, University of Kentucky – Analysis and
PDE Seminar, University of Illinois at Urbana-Champaign – Harmonic Analysis and Differential Equations
Seminar, Rose-Hulman.
Conferences: Ohio River Analysis Meeting.
Departmental Colloquia: University of Cincinnati.
Seminars: University of Chicago – Calderon-Zygmund Seminar, University of Michigan – Differential
Equations Seminar, University of Illinois at Urbana Champaign – Harmonic Analysis and Differential
Equations Seminar, Rose-Hulman Institute of Technology.
Conferences: Illinois Sectional Meeting of the MAA, 69th MidWest Partial Differential Equations
Seminar, Joint Mathematics Meeting – AMS Special Session on Classical Fourier Analysis and PDE,
Joint Mathematics Meeting – MAA contributed paper session on Teaching Mathematics Beyond the
Calculus Sequence.
2/5
2011
2010
earlier
Seminars: Eastern Illinois University.
Conferences: 68th MidWest Partial Differential Equations Seminar, AMS Fall Western Sectional Meeting – Special Session on Harmonic Analysis and Dispersive Partial Differential Equations, MathFest –
MAA contributed paper session on Teaching Advanced Mathematics, Illinois Sectional Meeting of the
MAA, AMS Spring Southeastern Sectional Meeting – Special Session on Harmonic Analysis and Partial
Differential Equations.
Seminars: Eastern Illinois University (twice), UIUC Graduate Analysis Seminar, Special Graduate Student Seminar (UIUC).
Conferences: 66th MidWest Partial Differential Equations Seminar, AMS Spring Southeastern Sectional
Meeting – Special Session on Analysis and Control of Dispersive Partial Differential Equations.
Seminars: UIUC Harmonic Analysis Mathematical Physics Seminar (2009), UIUC Graduate Analysis
Seminar (2007, 2009), Albion College (2007).
Conferences: Third Annual MSU Student Mathematics Conference (2005), Miami University Undergraduate Mathematics Conference (2004), Michigan Undergraduate Mathematics Conference (2003,
2004) .
Conferences Attended
2014: Ohio River Analysis Meeting, 74th MidWest PDE Seminar.
2013: Joint Math Meetings, Ohio River Analysis Meeting, NSF–CBMS Conference at Kansas State
University.
2012: 69th MidWest Partial Differential Equations Seminar, Annual Meeting of the Illinois Section of
the MAA, Joint Math Meetings.
2011: 68th MidWest Partial Differential Equations Seminar, AMS Fall Western Sectional Meeting,
MathFest (MAA national meeting), Annual Meeting of the Illinois Section of the MAA, 67th MidWest Partial Differential Equations Seminar, AMS Spring Southeastern Sectional Meeting, Joint Math
Meetings, .
2010: 66th MidWest Partial Differential Equations Seminar, 2010 Assessment Institute, Illinois/Missouri
Applied Harmonic Analysis Seminar, MathFest (MAA national meeting), AMS Spring Southeastern
Sectional Meeting, Illinois/Missouri Applied Harmonic Analysis Seminar.
2009: AMS Spring Central Sectional Meeting, Illinois/Missouri Applied Harmonic Analysis Seminar.
2007: Illinois/Missouri Applied Harmonic Analysis Seminar.
2006: Illinois/Missouri Applied Harmonic Analysis Seminar.
Other Scholarship (Refereed problem solutions)
2013
2012
2012
2011
2011
2011
2010
College Mathematics Journal Solution to problem 993 – solution was acknowledged in the Jan. 2014
issue.
Mathematics Magazine Solution to problem 1889 – solution was acknowledged in the Feb. 2013
issue, Solution to problem 1892 – solution was acknowledged in the Apr. 2013 issue.
College Mathematics Journal Solution to problem 961 with J. Haarman† – solution was acknowledged
in the Nov. 2012 issue.
American Mathematical Monthly Solution to problem 11581, Solution to problem 11589 with T. D.
LeSaulnier – both acknowledged in the Feb. 2013 issue.
Mathematics Magazine Solution to problem 1863 with C. M. Allen† – solution was acknowledged in
the Feb. 2012 issue, Solution to problem 1867 – solution was acknowledged in the Apr. 2012 issue,
Solution to problem 1871– solution was acknowledged in the June 2012 issue.
College Mathematics Journal Solution to problem 936, with K. Wolcott, College Mathematics Journal
– our solution appeared in the Nov. 2011 issue, Solution to problem 944 – solution was acknowledged
in the Jan. 2012 issue, Solution to problem 956 with S. Carlisle, J. Haarman† and K. Wolcott – solution
was acknowledged in the Sept. 2012 issue, Solution to problem 958 – solution was acknowledged in the
Sept. 2012 issue, Solution to problem 960 – solution was acknowledged in the Sept. 2012 issue.
Mathematics Magazine Solution to problem 1852 – published Oct. 2011, my generalization of this
problem was included in an editor’s note.
3/5
2010
College Mathematics Journal Solution to problem 931 with E. Ingram† , F. E. Schneider† , and K.
Wolcott, – published Sept. 2011. † - undergraduate students
Awards and Honors
2012–current
2010-2012
2005-2010
2002-2005
Rose-Hulman Institute of Technology.
• Awarded an American Mathematical Society Simons Travel Grant (2012-2015).
• Albion College Young Alumni Award (2014).
• Awarded a Summer Professional Development Fund Grant (Summer 2014).
Eastern Illinois University.
• Selected for the AMS Mathematics Research Communities program, Partial Differential Equations,
Harmonic Analysis, Complex Analysis, and Geometric Measure Theory. June 2012.
• Project NExT Fellow (2010-2011). Project NExT (New Experiences in Teaching) is a professional
development program of the MAA.
• Early Research Support Grant. Awarded by the College of Sciences at Eastern Illinois University.
University of Illinois at Urbana-Champaign.
• Recipient of the Department of Mathematics’ Brahana TA Instructional Award (2009).
• Graduate Teaching Certificate (2010).
• Named to the List of Teachers Ranked Excellent by their Students (Fall 2008).
• NSF VIGRE fellowship (Spring 2006).
• Named to the List of Teachers Ranked Excellent by their Students (Fall 2006).
• Named to the List of Teachers Ranked Excellent by their Students (Fall 2005).
Albion College.
• 2005 NCAA Academic All-American – Honorable Mention.
• Class of 2005 Graduation Speaker.
• E.R. Sleight Prize winner for outstanding senior in mathematics.
• E.T.S. Walton Award winner for outstanding senior in physics.
• Graduated Summa Cum Laude.
• Member of Phi Beta Kappa, Kappa Mu Epsilon and Sigma Xi honor societies.
• Honorable Mention Outstanding Presentation Award, Third Annual MSU Student Mathematics Conference Michigan State University (2005).
• J.R. Lancaster Award winner for outstanding junior in mathematics.
• Bragg Award winner for outstanding sophomore in mathematics.
Professional Service
2015–2018
2015
2015
2014-15
2013-current
2013
2012, 2013
2011-current
2012
2011-current
2012
2011-2012
2011-2012
2011
2010-2011
Member, Editoral Board, MAA Textbook Series.
Co-organizer, Special Session on Harmonic Analysis and PDE, AMS Central Section Meeting, Spring
2015.
Judge, MAA Student Poster Session at the Joint Meetings.
Freshman Advisor, Rose-Hulman Institute of Technology.
Co-organizer, Math Department Seminar, Rose-Hulman Institute of Technology.
Judge, MAA Student Poster Session at the Joint Meetings.
Reviewer, College Mathematics Journal.
Reviewer, Mathematical Reviews.
Referee, Rose-Hulman Undergraduate Mathematics Journal.
Member, Advisory Board for the Department of Mathematics and Computer Science, Albion College.
Judge, Young Mathematicians Conference, Ohio State University.
Member, Curriculum Committee, Department of Mathematics and Computer Science, EIU.
Member, Colloquium Committee, Department of Mathematics and Computer Science, EIU.
Judge, Young Mathematicians Conference, Ohio State University.
Member, Organizing Committee 67th MidWest Partial Differential Equations Seminar.
4/5
2011
2011
2011
2011
2010-2012
2010-2012
2010-2012
2010
2009-2010
2008-2010
2010
2009-2010
2008-2010
2007-2010
2010
2009
2009-2010
2010
2009
Grader, Illinois Sectional Meeting of the MAA Student Mathematics Competition.
Judge, Illinois Council of Teachers of Mathematics Regional Math Competition.
Mentor, TRiO, EIU.
Judge, MAA Student Poster Session at the Joint Meetings.
Co-organizer, Problem Session. (EIU) Solved problems with students from MAA publications.
Faculty Advisor, Kappa Mu Epsilon. EIU Chapter of a National Mathematics Honor Society.
Member, Good of the Order Committee, Department of Mathematics and Computer Science, EIU.
Advisor, MATH Challenge Mathematics Competition, Department of Mathematics and Computer Science, EIU.
Chair, Graduate Teaching Awards Committee, Department of Mathematics, UIUC.
Graduate Student Representative, Graduate Affairs Committee. Elected position Department of
Mathematics, UIUC.
Organizer and Panelist, Special Graduate Seminar on “Making the transition from student to researcher.” Department of Mathematics, UIUC.
Organizer, UIUC Graduate Analysis Seminar.
Mentor, for first time Teaching Assistants in the Mathematics Department UIUC.
-helped plan and implement a series of teaching workshops. Topics included “Using graded work as
student feedback”, “Resources for students on campus”, and “Test construction”.
-helped run a session on preparing for teaching in graduate student orientation.
-helped to implement a new system to evaluate first time TAs.
Buddy, graduate student orientation, Department of Mathematics, UIUC.
Panelist, Special Graduate Seminar “Students share experiences for the benefit of everyone seeking a
job in the future.” Department of Mathematics, UIUC.
Mentor, for novice Teaching Assistants for the Mathematics Merit Program, Department of Mathematics, UIUC.
Member, Math Teaching Awards Committee, Department of Mathematics, UIUC.
Judge, Illinois Council of Teachers of Mathematics State Finals Math Competition.
Judge, Illinois Council of Teachers of Mathematics State Finals Math Competition.
Professional Memberships
2010-current
2005-current
Member, Mathematical Association of America (MAA).
Member, American Mathematical Society (AMS).
Last updated: December 27, 2014
5/5

Download Report