College of Arts and Sciences

The Department of Mathematical Sciences enjoys an active Colloquium series. There are also departmental research seminars in Analysis and Discrete Mathematics. All our events are open to students and the public, and are free to attend unless otherwise indicated.

- Johann Brauchart, Universität Graz, Austria,
*Covering, Separation, and Discrepancy for Random Points on the Sphere*.- date/time TBA (during the week May 25-29)
- Abstract: An algorithm based on point evaluations is regarded to be better if it can beat the average case that uses random points. We look into, in particular, three statistics: the "biggest holes" measured by the covering radius, the "closest distances" measured by the least distance, and the "irregularity" of a point set measured by the discrepancy with respect to a family of given test sets (geometric approach) or test functions (analytic approach). We present results regarding the distribution of holes and distances of random and selected deterministic point sets on the unit sphere of dimension >=1. This talk is based on joint work with Josef Dick, Ed Saff, Ian Sloan, Yuguang Wang, and Rob Womersley.

- Maya Stoyanova, Sofia University,
*Universal Lower Bounds on Energy - Computational Aspects*, March 18. -
Peter G. Boyvalenkov, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences,

*Energy Bounds for Codes and Designs in H(n,q)*. March 4. - Peter Dragnev, IPFW,
*Universal lower bounds for potential energy of spherical codes*, Feb. 4.- Abstract: Minimal energy configurations (codes), maximal codes, and spherical designs have wide ranging applications in various fields of science, such as crystallography, nanotechnology, material science, information theory, wireless communications, etc. We derive universal lower bounds for the potential energy of spherical codes, that are optimal in the framework of the standard linear programming approach and provide a characterization of when improvements are possible. Our bounds are universal in the sense of Cohn and Kumar; i.e., they apply to any absolutely monotone potential. Joint work with Peter Boyvalenkov, IMI-Sofia; Doug Hardin and Ed Saff, Vanderbilt University; and M. Stoyanova, Sofia University.

**Photo page**

- Yifei Pan,
*Unique continuation for higher-order Cauchy-Riemann operators II.*March 6. - Adam Coffman,
*Counterexamples in one complex variable, II*. - Yifei Pan,
*Unique continuation for higher-order Cauchy-Riemann operators.* - Yifei Pan,
*Unique continuation and three circles*. - Adam Coffman,
*Counterexamples in one complex variable, I.*

**Math Matters:**PI Math Club/Pi Mu Epsilon student talks, April 22.- Bre Anne Briskey,
*Men or Women: Who Really Talks More?* - Jessie Moffitt,
*Modeling Water Distribution Using Flow Networks* - Luke Bertsch,
*Optimal Blackjack Strategy* - Vreneli Brenneman,
*Solomon's Pool* **Photo Page**

- Prof. Anderson,
*Convergence,*May 3.

**Friday/Saturday, October 3/4****IPFW conference web site****MIGHTY conference series web site****Photo Page for Graph Theory Week**

- Robin Wilson, Open University, England,
*Euler: 300 Years On*. Oct. 1.**Photo Page.**Joint with PI Math Club - Peter Hamburger, Western Kentucky University, and IPFW Emeritus,
*Social and Socioeconomic Sciences and Dimension of Posets*. Oct. 2.**Photo page**.

**A Celebration of the Mathematical Mind event for the Martin Gardner Centennial***Soap Bubbles and Geometry*, by Professor Coffman- Short talks on recreational mathematics by Professor Berry, Andy Rich, Manchester University, and Mel Royer, Indiana Wesleyan University.
**Photo Page**

- Robin Wilson, Open University, England,
*Mathematics: A Philatelic History*- In this talk I cover the entire history of mathematics in just over an hour! To do so, I shall illustrate it in an unusual way – with over 300 postage stamps featuring mathematics and mathematicians – some very bizarre!
- Oct. 3. Followed by tea and cookies reception.
**Photo page**

- Fourth annual symposium: Friday/Saturday, September 19/20.
- concurrent with Midwestern Workshop on Asymptotic Analysis
**Workshop web site****Local information and Photo Page**

- David Benko, University of South Alabama,
*Comparing Tennis Tournaments*- July 29 -
**Photo page** - Abstract: The four major tennis tournaments (Grand Slams) are the Australian Open, the US Open, the Roland Garros, and Wimbledon. They are played on different surfaces and under different weather conditions. Which one is the best tournament? The answer seems subjective but we will find a mathematical method to answer objectively. Our method is applicable to other sports, too.

- July 29 -
- Peter Boyvalenkov, Bulgarian Academy of Sciences,
*Polynomial Techniques for Investigation of Spherical Designs*, May 22.

- Friday, April 4, and Saturday, April 5, the Department of Mathematical Sciences hosted the Spring Meeting of the
**Indiana Section of the Mathematical Association of America**. Events included invited and contributed talks, and the 2014 Indiana College Mathematics Competition. Photos from the Event

- Dusty Grundmeier, University of Michigan,
*Hilbert Functions and Positivity Conditions in Complex Analysis.*April 16.**Photo Page** - Keng Deng, University of Louisiana at Lafayette,
*Blow-up for the Heat Equation with a General Memory Boundary Condition*. April 23.

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**PI Math Club/Pi Mu Epsilon student talks:**At this annual event, IPFW students talk about their research or independent projects. Talks are**April 16**, about 15 minutes long. The talks will be judged for cash prizes sponsored by Pi Mu Epsilon.- Luke Bertsch,
*Fantasy Baseball Simulation* - Vreneli Brenneman,
*Geometry Meets Origami: Halving the Square* - Charles Burd,
*Even Statisticians Love Geometry* - Alex Liu,
*Everyone Deserves A Second Chance* - Magali de Macedo,
*Using Finite Series to Evaluate the Life-Cycle of Chemical Reactors*

- Luke Bertsch,
*An Analysis of Pass-the-Pigs*, Prof. Michael Sonksen, University of New Mexico, and IPFW alumnus. April 10

- Prof. Lipman,
*What's your birthday?*April 27.

- Sui-Chung Ng, Temple University,
*Holomorphic isometry among bounded symmetric domains and its motivations*, Nov. 12.

- Third annual symposium:
**Friday, November 8**. **Schedule and photo page**with titles, abstracts, a printable poster, and event photos.- Sponsored by IPFW Office of Research, Engagement, and Sponsored Programs and a grant from the Simons Foundation

- Mystery Speaker,
*What's so special about***Dec. 5**, 2013? - Prof. Coffman,
*Geometry in Perspective*, Nov. 13.

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- Adam Coffman,
*Notes on Rosay's Notes on normal forms for almost complex structures*. Sept. 26.

**Joint with PI Math Club**: Edray Goins, Purdue W. L., on*An Introduction to Dessins d'Enfants: The Intersection of Graph Theory, Group Theory, and Differential Geometry.*March 6.- John Erik Fornæss, University of Michigan Emeritus,
*Exposing Points*. Jan. 23.**Photo Page**

- Peter Dragnev,
*From Electrons to Orifices to Fullerenes: The Unfolding Story of Energy Optimization*. Feb. 20.**Photo page**

- Prof. Dragnev,
*Characterizing stationary logarithmic points on the sphere*, Jan. 30. **PI Math Club/Pi Mu Epsilon student talks:**At this annual event, IPFW students talk about their research or independent projects. Talks start at noon**,**April 24, and will continue until 1:30 (or sooner). The talks are judged for cash prizes.**Photo page**- Graph Theory and Crystal Physics - Harry Francies
- Counting Euler Circuits - Cullen Hauser
- Golden Discoveries - Vreneli Brenneman
- Generalized Thompson Problem for 5 Points - Altun Shukurlu
- Creative Applications of Design of Experiments - Magali de Macedo
- Why Such a Big Deal About a Sample of 30 or More? - Peter Saya

- Prof. Coroian,
*The Transit of Venus and why it was one of the most important events in science history*. Sunday, May 28.**Photo page**

- Peter Hamburger, Western Kentucky University, and IPFW Professor Emeritus,
*An Alternative Proof of Bézout's Theorem*. Nov. 20.**Photo page**

- Second annual symposium: November 9.
- 9:00 Norm Levenberg, Indiana University Bloomington,
*Projective hulls and characterizations of meromorphic functions* - 10:00 Sergiy Borodachov, Towson University,
*Asymptotics for the discrete minimum Riesz energy problem* - 11:00 Yu Yan, Huntington University,
*A Hopf lemma for higher order differential inequalities and its applications* - 1:30 Yuan Zhang, IPFW,
*Sup-norm estimates for d-bar on infinite type convex**domains in***C**^{2} - 3:30 Yifei Pan, IPFW,
*Finding flat solutions of the Cauchy-Riemann equation with flat data* - Printable Poster:
- Schedule and Abstracts:
**Photo page**- Sponsored by IPFW Office of Research, Engagement, and Sponsored Programs

- Yifei Pan,
*A complex integral surface on a manifold: The definition and local existence theorem.* - Yifei Pan,
*Unique continuation of Cauchy-Riemann operator with*L^{2}*potential*. - Adam Coffman,
*Counterexamples to strong unique continuation for a Beltrami system in*, II.**C**^{2} - Yuan Zhang,
*CR singular images*. - Adam Coffman,
*Parabolic CR singularities.*

- Maxim Yattselev, University of Oregon,
*Spurious poles in Padé approximation of algebraic functions*, Feb. 27. - Yuan Zhang, University of California San Diego,
*Global extension and rigidity for local holomorphic isometric embeddings*, Feb. 28. - Peter Hamburger, Western Kentucky University,
*Much Ado about Real Numbers*, April 4.

- Yifei Pan,
*Solvability of Partial Differential Equations*. Feb. 24.**Photo page**

- Student talks event: April 11.
*Calculus for Climatologists*, Guchen (Alex) Liu*The Easiest Solution Isn't Always the Best Solution, Even in Math*, Aldane Hoilett

- Billy Rhoades, Indiana University Bloomington Emeritus,
*Euler Was Right*. Jan. 25.

- Yvonne Zubovic,
*Mathematics, Magic, and the Mysteries of Life*. April 15, 3 - 5 p.m.

- Dave Redett,
*An introduction to weakly stationary processes*. March 12.

- Abstract: I will begin by defining what it means for a stochastic process to be weakly stationary. We will then consider some examples. After identifying the spectral measure for a weakly stationary process, we will see how properties of this measure are reflected in the structure of the weakly stationary process.

- Peter Dragnev,
*Electrons, Buckyballs, and Orifices: Nature's Way of Minimizing Energy*. Nov. 9. Photo page

- Yuan Zhang, UCSD,
*Chern-Moser-Weyl tensor theory and its applications to the Hopf Lemma for CR maps*, Nov. 11.- In this talk, we give a monotonicity formula for the Chern-Moser-Weyl curvature tensor for CR embeddings between germs of Levi non-degenerate hypersurfaces of the same signature. The criterion allows us to construct many algebraic Levi non-degenerate hypersurfaces which are non-embeddable into hyperquadrics of the same signature. We also show that any CR map from a germ of a Levi non-degenerate hypersurface
*M*in*C*^{n}into a hyperquadric of the same signature in*C*^{n+1}, if does not send an open set of*C*^{n}into the hyperquadric, is always CR transversal (equivalently, a CR embedding) at nonumbilical points. This is joint work with X. Huang.

- In this talk, we give a monotonicity formula for the Chern-Moser-Weyl curvature tensor for CR embeddings between germs of Levi non-degenerate hypersurfaces of the same signature. The criterion allows us to construct many algebraic Levi non-degenerate hypersurfaces which are non-embeddable into hyperquadrics of the same signature. We also show that any CR map from a germ of a Levi non-degenerate hypersurface

- Drew Lipman, University of Waterloo alumnus,
*An introduction to primal graphs*, Nov. 14. - M. Lipman, M. Walsh, and L. Hicks,
*Proper graph coloring*. Sept. 26.

- I. Kossovskiy, University of Western Ontario,
*Mappings of 2-nondegenerate hypersurfaces in dimension three*, Nov. 11.- Let (
*M*,*p*) and (*M*',*p*') be two real hypersurfaces with distinguished points in complex affine*n*-space and let*H*(*M*,*p*;*M*',*p*') be the space of local biholomorphic mappings of the ambient space preserving the hypersurfaces and the distinguished points. How "rich" can the space*H*(*M*,*p*;*M*',*p*') be? Poincaré (for*n*=2) and later Chern and Moser (for arbitrary*n*) in their famous papers gave the answer to this question for Levi non-degenerate hypersurfaces. Their results generated a big stream of further papers on CR-geometry and led to remarkable theorems in complex analysis. Using a new approach, we avoid the difficulties which occur in the Levi-degenerate case and reproduce the Poincaré-Chern-Moser theory for the case of 2-nondegenerate hypersurfaces in complex 3-space. This is joint work with Valery Beloshapka.

- Let (
- Y. Pan,
*On solvability of nonlinear partial differential systems of any order in dimension two*. Sept. 27.- In this talk, we present a general existence result (local and global) for a nonlinear partial differential system of any order in dimension two. In particular it implies the local existence of
*J*-holomorphic curves on a almost complex manifold, due to Nijenhuis and Woolf, and also implies the existence of harmonic maps from the unit disk to any Riemannian manifold with prescribed tangent vector, which could be new. As a consequence of the method, we prove that any nonlinear partial differential system with a power*m*of the Laplace operator as principal part can be always solvable locally for any jet of order 2*m*-1 at the origin. At the same time, global solutions can be obtained, provided the system vanishes to first order at the origin. These results are almost best possible due to the classical theory of Ahlfors and Osserman.

- In this talk, we present a general existence result (local and global) for a nonlinear partial differential system of any order in dimension two. In particular it implies the local existence of

- David Benko, University of South Alabama,
*On a Remarkable Infinite Series*. May 26.- The Riemann hypothesis concerns the zeros of the Riemann zeta function. In the talk we study another infinite series which we construct by modifying the Riemann zeta function. This function has a resemblance to the Riemann zeta function in respect to the location of its zeros: its zeros are located on a line. So we call this property the "mini Riemann hypothesis". The function behaves much more simply than the zeta function, so we can think of it as a starting point to get familiar with the zeta function itself.

**MIGHTY LI graph theory conference at IPFW,**April 15-16, 2011.

- Adam Coffman,
*Counterexamples to strong unique continuation for a Beltrami system in*.**C**^{2}

- Lunchtime presentation by Prof. Coroian,
*Brahe, Kepler, Newton and the Laws of Planetary Motion.* - Student Talks event:
- Heip Nguyen,
*Roller Derby* - Melissa Guse,
*Way Harder Than Fly Fishing: Comparing the means of two populations* - Brad Moss,
*A New Approach for Comparing the Means of Two Populations* - Garret Marshall,
*Generalized Estimating Equations and Quasi-Least Squares*

- Heip Nguyen,
- G. Venema, Calvin College,
*Dimension Theory for Undergraduates.* - D. Maloney, IPFW Physics,
*Deciding how to attack a problem*.

- Alex James, IPFW alumnus,
*Educating a different kind of mathematician*. Installation ceremony Sunday, May 1, 3pm.

**Archive of Past Seminars, Colloquia, and Events (2009-2010)**

**Archive of Past Seminars, Colloquia, and Events (1997-2008)**

Some other past events:

- Midwest Graph Theory conference, MIGHTY XLIII, 2006: link to photo page
- Midwest Graph Theory conference, MIGHTY XXXII, 1999
- Spring Meeting of the Indiana Section of the MAA, 2005
- Physics-Based Calculus: summer workshops 2001 - 2005

- Online Preprints
- IPFW News & Information Center
**events.ipfw.edu**- Mathematical Sciences Alumni
- Pi Mu Epsilon
- CELT: Center for Enhancement of Learning and Teaching

- IPFW math graduate course announcements
- CASA and Math Test Center
- IPFW Commencement
- IPFW Sigma Xi
**opus.ipfw.edu**research database- IPFW Speakers and Experts