Curriculum Vitae

Peter Dragnev
Department of Mathematical Sciences
Indiana University-Purdue University Fort Wayne
2101 E. Coliseum Blvd.
Fort Wayne, IN 46805
Tel: (260) 481-6382
E-mail: dragnevp@ipfw.edu

Education:

PhD – 1997 Department of Mathematics, University of South Florida,
MS – 1989, Department of Mathematics, Sofia University, Sofia, Bulgaria.
BS – 1987, Department of Mathematics, Sofia University, Sofia, Bulgaria.

Employment Experience:

07/13 – present: Co-director, Center for Applied Mathematics and Statistics, IPFW, Fort Wayne, IN
07/12 – present: Chair, Department of Mathematical Sciences, IPFW, Fort Wayne, IN
07/11 – 12/11: Interim Chair, Department of Mathematical Sciences, IPFW, Fort Wayne, IN
08/11 – present: Professor, Department of Mathematical Sciences, IPFW, Fort Wayne, IN
08/03 – 08/11: Associate Professor, Department of Mathematical Sciences, IPFW, Fort Wayne, IN
07/98 – 08/03: Assistant Professor, Department of Mathematical Sciences, IPFW, Fort Wayne, IN
08/97 – 06/97: Visiting Assistant Professor, Department of Mathematical Sciences, IPFW, Fort Wayne, IN
08/92 – 08/97: Teaching Assistant, Department of Mathematics, University of South Florida, Tampa
08/90 – 08/92: Assistant, Department of Mathematics, Plovdiv University, Bulgaria

Short Appointments:

ICERM, Brown University – Research Fellow, Spring 2018
Vanderbilt University – Visiting Professor, Fall 2016 (sabbatical)
Erwin Schrodinger Institute of Mathematical Physics – Visiting Researcher, Fall 2014

IMI, Bulgarian Academy of Sciences – Visiting Researcher, Summer 2014

University of South Alabama – Visiting Researcher, Fall 2010 (sabbatical)

Vanderbilt University – Visiting Researcher, Fall 2003 (sabbatical)

Research Interests:

Real and Complex Analysis; Approximation Theory; Potential Theory; Orthogonal Polynomials; Coding Theory; minimal energy problems, logarithmic potentials, asymptotics of orthogonal polynomials, Lebesgue function; points on the sphere;
Mathematics Subject Classification Numbers: 05, 26, 31, 33, 41, 43

Academic Activities:

Member of AMS, MAA, and Sigma Xi Research Society.
IPFW Chapter President of Sigma Xi Research Society for 2004, 2007; Treasurer since 2012.
Mini-Symposium Organizer, Approximation Theory XII – March, 2007; OPSFA13 – June, 2015;
Constructive Functions 2014 – Scientific Committee member

Midwest Workshop on Asymptotic Analysis (MWAA), Fall 2014, 2015, 2016, 2017 – Co-organizer.

Research Grants:

Collaboration Grants for Mathematicians – PI, 2013-2018, $35,000, Simons Foundation, #282207
    “Optimal Configurations and Equilibrium Measures"
PRF Summer Research Award – 2003, PU
    "Geometry of Polynomials and Electrostatics"
PRF Summer Research Award – 2001, PU
    "The Extremal Support in the Presence of External Field"
IPFW Summer Research Grant – 2000, IPFW
    "Minimal Discrete Energy on Closed Surfaces"
IPFW Summer Research Grant – 1999, IPFW
    "Constrained energy problem and electrostatics of semiconductors"

Applied Research Grants and Contracts ($140,032)

Adaptations of Lease Payment Calculation Algorithm – co-PIs Jeff Anderson, Dan Coroian, $9,600 – 2017

Algorithmic Development of a Lease Calculation System – co-PIs Jeff Anderson, Dan Coroian, $26,993 – 2016

Mathematics Support to Improve Accuracy – co-PIs Jeff Anderson, Dan Coroian, $29,000 – 2015-2016

Analysis and Assessment of Data Tools – co-PIs Dan Coroian, Britton Wolfe, $24,039 – 2015

Ultraelectronics, Deicdere LLC, VisionMenu, Water Furnace, Fort Wayne Metals – 7 Technical Assistance Projects (TAP), $7,200 each, 2014-2017

Awards:

ICERM, Brown University – Research Fellow, Spring 2018

IPFW Outstanding Research Award – 2015

Erwin Schrodinger Institute of Mathematical Physics – Visiting Researcher, October 2014

IMI, Bulgarian Academy of Sciences – Visiting Researcher, June 2014

IPFW Featured Faculty – 2013

Pippert Science Research Scholar – 2003, 2012
Fall 2011 COAS Distinguished Lecturer – College of Arts and Sciences, IPFW, November 2011

Research in Pairs – Oberwolfach Mathematics Institute, Germany, May 2009

Leibniz Fellow Guest Researcher – Oberwolfach Mathematics Institute, Germany, October 2008

IPFW Research Fellow – Spring 2004
Researcher of the Year Award – 2002, IPFW Sigma Xi Chapter

Travel Grants:

NSF Supplemental Travel Grant – 2001, 2007, NSF
Austrian  Science Foundation – 2008, Technical University of Graz, Graz, Austria
PRF International Travel Grant – 2001, 2010, 2012, 2017, Purdue University
IU Overseas Conference Fund Grant – 1999, 2007, 2009, 2013, 2017, Indiana University
NATO Advanced Study Institute Local Grant – 2000, NATO ASI Organizing committee
FoCM Organizing Committee Local Grant – 1999, City University of Hong Kong
IPFW International Supplemental Travel Grant – 1999, 2001, 2007, 2009, 2012, IPFW

Research papers:

1. D. Benko, D. Coroian, P. D. Dragnev, R. Orive, Probability, Minimax Approximation and Nash-Equilibrium. Estimating the Parameter of a Biased Coin, submitted. https://arxiv.org/pdf/1605.08721.pdf

2. P. Boyvalenkov, P. D. Dragnev, D. P. Hardin, E. B. Saff, and M. Stoyanova, On spherical codes with inner products in a prescribed interval, submitted, https://arxiv.org/abs/1801.07334

3. P. D. Dragnev, B. Fuglede, D. P. Hardin, E. B. Saff, and N. Zorii, Condensers with touching plates and constrained minimum Riesz and Green energy problems, submitted. https://arxiv.org/pdf/1711.05484.pdf

4. P. D. Dragnev, B. Fuglede, D. P. Hardin, E. B. Saff, and N. Zorii, Constrained minimum Riesz energy problems for a condenser with intersecting plates, submitted. https://arxiv.org/pdf/1710.01950.pdf

5. J. S. Brauchart, P. D. Dragnev, E. B. Saff, and R. Womersley, Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere —the Exceptional Case, Festschrift for the 80th Birthday of Ian Sloan, Eds. Josef Dick, Frances Y. Kuo, Henryk Wozniakowski, to appear. https://arxiv.org/pdf/1706.09346.pdf

6. P. Boyvalenkov, P. D. Dragnev, D. P. Hardin, E. B. Saff, and M. Stoyanova, Bounding energies and cardinalities of spherical codes with inner products in prescribed interval, 10^th International Workshop on Coding and Cryptography, (2017), 1-11.

7. P. Boyvalenkov, P. D. Dragnev, D. P. Hardin, E. B. Saff, and M. Stoyanova, Energy bounds for codes and designs in Hamming spaces, Designs, Codes, and Cryptography, 82, 1, (2017), 411–433 http://link.springer.com/article/10.1007/s10623-016-0286-4

8. P. Boyvalenkov, P. D. Dragnev, D. P. Hardin, E. B. Saff, and M. Stoyanova, Universal Lower Bounds on Energy and LP-Extremal Polynomials for (4,24)-Codes, Electronic Notes in Discrete Mathematics, 57, (2017), 91—96 http://dx.doi.org/10.1016/j.endm.2017.02.016

9. P. Boyvalenkov, P. D. Dragnev, D. P. Hardin, E. B. Saff, and M. Stoyanova, Lower energy bounds for antipodal spherical codes and for codes in infinite projective spaces, XV International Symposium Problems of Redundancy in Information and Control Systems, IEEE Explorer, (2016), 28—32. http://ieeexplore.ieee.org/document/7779322/

10. P. Boyvalenkov, P. D. Dragnev, D. P. Hardin, E. B. Saff, and M. Stoyanova, Universal lower bounds for potential energy of spherical codes, Constructive Approximation, 44, no. 3, (2016) 385–415 http://link.springer.com/article/10.1007/s00365-016-9327-5

11. P. D. Dragnev, Log-optimal configurations on the sphere, Contemporary Mathematics, AMS, 661, (2016), 41—55. http://bookstore.ams.org/conm-661

12. P. Boyvalenkov, P. D. Dragnev, D. P. Hardin, E. B. Saff, and M. Stoyanova, Universal upper and lower bounds on energy of spherical designs, Dolomites Research Notes on Approximation, 8, (2015) 51-65 http://www.emis.de/journals/DRNA/6-3.html

13. P. D. Dragnev, B. Fuglede, D. P. Hardin, E. B. Saff, and N. Zorii, Minimum Riesz energy problems for a condenser with "touching plates", Potential Analysis, (2015), 1-35, http://link.springer.com/article/10.1007/s11118-015-9519-9

14. P. Boyvalenkov, P. D. Dragnev, D. P. Hardin, E. B. Saff, and M. Stoyanova, Energy bounds for codes and designs in $H(n,q)$, 9^th International Workshop on Coding and Cryptography, (2015), 1-11.

15. P. Boyvalenkov, P. D. Dragnev, D. P. Hardin, E. B. Saff, and M. Stoyanova, On the Riesz Energy of Spherical Designs,14^th International Workshop on Algebraic and Combinatorial Coding Theory. (2014), 109 – 114.

16. J. S. Brauchart, P. D. Dragnev, and E. B. Saff, An Electrostatics Problem on the Sphere Arising from a Nearby Point Charge Constructive Theory of Functions (K. Ivanov, G. Nikolov, and R. Uluchev, Eds.), Prof. Marin Drinov Academic Publishing House, Sofia, Bulgaria, (2014), 11-55.

17. J. S. Brauchart, P. D. Dragnev, E. B. Saff, Riesz External Field Problems on the Hypersphere and Optimal Point Separation, Potential Anal. 41 (2014), 647-678.

18. Peter Dragnev, Erwin Mina-Diaz, and Michael Northington V, Asymptotics of Carleman Polynomials for Level Curves of the Inverse of a Shifted Zhukovsky Transformation, Comput. Methods Funct. Theory, 13 (1), (2013), 75-89.

19. P. D. Dragnev, On a characterization theorem for stationary Logarithmic configurations, Oberwolfach reports, no. 40 (2012), 13-15, DOI: 10.4171/OWR/2012/40.

20. J. Brauchart, P. D. Dragnev, E. B. Saff, and C. E. Van de Woestijne, A fascinating polynomial sequence arising from an electrostatics problem on the sphere, Acta Math. Hungar., 137 (1), (2012), 10-26.

21. D. Benko, P. D. Dragnev, and V. Totik, Convexity of harmonic densities, Revista Math. Iberoamer., 28 (4), (2012), 947-960.

22. D. Benko, S. B. Damelin and P. D. Dragnev, On supports of equilibrium measures with concave signed equilibria, J. Comput. Anal. Appl. 14 (4), (2012), 752-766.

23. D. Benko and P. D. Dragnev, Balayage ping pong: a convexity of equilibrium measures, Constr. Approx., 36 (2) (2012), 191-214.

24. Peter Dragnev and Erwin Mina-Diaz, On a series representation for Carleman Orthogonal Polynomials, Proc. AMS, 138 (2010), 4271-4279.

25. Peter Dragnev and Erwin Mina-Diaz, Asymptotic Behavior and Zero Distribution of Carleman Orthogonal Polynomials, J. Approx. Theory, 162 (11), (2010), 1982-2003.

26. J. S. Brauchart, P. D. Dragnev, and E. B. Saff, Riesz extremal measures on the sphere for axis-supported external fields – JMAA, 356, no. 2, (2009), 769-792.

27. J. S. Brauchart, P. D. Dragnev, and E. B. Saff, Minimal Riesz energy on the sphere for axis-supported external fields. Oberwolfach Preprint Series, OWP 2009-04 (2009), 1-44. http://www.mfo.de/publications/owp/2009/OWP2009_04.pdf

28. P. D. Dragnev, J. S. Brauchart, and E. B. Saff, On an energy problem with Riesz external field, Oberwolfach reports, Volume 4, Issue 2 (2007), 1042-1044.

29. P. D. Dragnev and E. B. Saff, Riesz spherical potentials with external fields and minimal energy points separation, Potential Anal. 26 (2007), 139-162.

30. D. Benko, S. B. Damelin and P. D. Dragnev, On the support of the equilibrium measure for arcs of the unit circle and for real intervals, ETNA 25 (2006), 27-40.

31. P. D. Dragnev, D. A. Legg, and D. W. Townsend, Polynomial Approximation of the Checkmark Function, in Advances in Constructive Approximation, M. Neamtu and E. B. Saff (edts), (2004), 149-164.

32. P. D. Dragnev, On the Separation of Logarithmic Points on the Sphere, in Approximation Theory X: Abstract and Classical Analysis, Charles Chui, Larry L. Schumaker, and Joachim Stoeckler, (eds.), (2002), 137-144.

33. P. D. Dragnev, D. A. Legg, and D. W. Townsend, Discrete Logarithmic Energy on the Sphere, Pacific J. Math. 207, no. 2 (2002), 345-358.

34. S. B. Damelin, P. D. Dragnev, and A. B. J. Kuijlaars The support of the equilibrium measure for a class of non-convex external fields on a finite interval, Pacific J. of Math. 199, no. 2 (2001), 303-320.

35. D. Coroian and P. D. Dragnev, Constrained Leja points and numerical solution of the constrained energy problem, J. Comp. and Appl. Math. 131, no. 1-2 (2001), 427-444.

36. P. D. Dragnev and E. B. Saff, A problem in Potential theory and zero asymptotics of Krawtchouk polynomials, J. Approx. Theory 102, (2000), 120-140.

37. A.B.J. Kuijlaars and P. D. Dragnev, Equilibrium problems associated with fast decreasing polynomials, Proceedings of Amer. Math. Soc. 127, no. 4 (1999), 1065-1074.

38. P. D. Dragnev, D. A. Legg and D. W. Townsend, Generalized Bernstein-Erdos Conjecture, Approximation theory IX, Volume 1: Theoretical aspects, Charles K. Chui and Larry Schumaker (eds.), (1998), 119-126.

39. P. D. Dragnev and E. B. Saff, Constrained energy problems with applications to orthogonal polynomials of a discrete variable, Journal Anal. Math., 72 (1997), 223-259.

40. P. D. Dragnev and E. B. Saff, Open problems in Approximation theory, Tampa – 96, East J. of Approx. 2, no. 4 (1996), 499-517.

Plenary Presentations:

· Optimal and Random Point Configurations, ICERM, Brown University, Providence, RI – February 2018

On the universal optimality of the 600-cell - the Levenshtein framework lifted

· AMS Sectional Meeting, Orlando, FL – September, 2017

Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere - the Exceptional Case

· Optimal Point Configurations and Orthogonal Polynomials 2017, Castro Urdiales, Spain – April 2017

Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere - the Exceptional Case

· IPFW Outstanding Research Award Lecture, IPFW – March 2016

Mathematics of the Soccer Ball: Mathematician’s Quest to Minimizing Energy

· Tenth Summer School on Potential Theory, Renyi Math Institute, Budapest, Hungary – August, 2015, Lecture-series of three presentations, http://www.renyi.hu/conferences/sspt/presentations.html

Energy bounds for spherical codes, test functions and LP optimality; External field energy problems on the sphere and minimal energy points separation; Levenshtein-type bounds for codes with inner products in prescribed interval

· 2015 Workshop on Combinatorics and Applications, Shanghai Jiao Tong University, Shanghai, China – April, 2015, http://math.sjtu.edu.cn/conference/2015WCA/A.php

Delsarte-Yudin LP Method and Universal Lower Bounds on Energy

· Workshop on Potential Theory and Random Matrices, KU Leuven, Leuven, Belgium – October, 2014 https://wis.kuleuven.be/english/agenda/sem-classical-ana/ay14-15/workshop_october_20_2014

Universal lower bounds for potential energy of spherical codes

· Optimal Point Configurations and Applications, Erwin Schrodinger Internationa Institute on Mathematical Physics, Vienna, Austria – October, 2014, http://www.math.tugraz.at/ESI2014/workshop1.html

Universal lower bounds for potential energy of spherical codes

· Optimal and Near Optimal Configurations on Lattices and Manifolds, MFO, Oberwolfach, Germany – August, 2012

Discrete Minimal Energy Problems

Invited Presentations:

· Hausdorff Geometry of Polynomials, Institut Mittag-Leffler, Stockholm, Sweden – May, 2018

· University of Texas Rio Grande Valley Colloquium, Edinburg, TX – November, 2017

Mathematics of the Soccer Ball: Mathematician’s Quest to Minimizing Energy

· CUMU Annual Conference, Denver, CO – October, 2017, Creating a successful community engagement enterprise, http://www.cumuonline.org/what-we-do/annual-conference/program/

· Barry University Colloquium, Miami, FL – September, 2017

Mathematics of the Soccer Ball: Mathematician’s Quest to Minimizing Energy

· WCC 2017, St. Petersburg, Russia – September, 2017

Bounding energies and cardinalities of spherical codes with inner products in a prescribed interval

· Computational Mathematics and Function Theory 2017, Lublin, Poland – July, 2017

Biased coin toss and Nash equilibrium

· Mathematical Days in Sofia 2017, Sofia, Bulgaria – July, 2017

Nash-Equilibrium and Minimax Approximation: Estimating the Probability of a Biased Coin

· Discrete Math Fest 2017, Budapest, Hungary – May, 2017

On the universal optimality of the $600$-cell: the Levenshtein framework lifted

· 9^th Discrete Geometry and Algebraic Combinatorics Conference, South Padre Island, TX – May, 2017

Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere - the Exceptional Case

· University of South Florida Colloquium, Tampa, FL – March 8, 2017

Universal Lower Bound for Energy For Spherical and Hamming Codes

· University of Central Florida Analysis Seminar, Orlando, FL – March 6, 2017

Biased coin toss and Nash equilibrium

· University of North Florida Colloquium, Jacksonville, FL – March 3, 2017

Universal Lower Bound for Energy For Spherical and Hamming Codes

· Troy University Colloquium, Troy, AL – October, 2016

Mathematics of the Soccer Ball: Mathematician’s Quest to Minimizing Energy

· Algebraic and Combinatorial Coding Theory 2016, Albena, Bulgaria – June, 2016

Universal Lower Bounds on Energy and LP-Extremal Polynomials for (4,24)-Codes

· Constructive Theory of Functions 2016, Sozopol, Bulgaria – June, 2016

Polynomial Approximation of the Checkmark Function

· Shanks Workshop on Linear Programming Bounds for Minimal Energy Problems, Vanderbilt University, Nashville, TN March 2015

Minimizing Energy – Theoretical Aspects

· 13^th Orthogonal Polynomials and Special Functions and Applications (OPSFA-13, SIAM Conference), NIST, Gaithersburg, MD, June 1-5, 2015;

Universal Lower Energy Bounds on Spherical Codes

· 7^th Discrete Geometry and Algebraic Combinatorics Conference, South Padre Island, TX – April, 2015

Delsarte-Yudin LP method and universal lower bounds on energy

· Bulgarian Academy of Sciences, Institute of Mathematics, Sofia, Bulgaria – June, 2014

On the separation of optimal spherical configurations

· Constructive Functions 2014, Nashville, TN – May 2014

External Field Problems on the Hypersphere and Optimal Point Separation

· 6^th Discrete Geometry and Algebraic Combinatorics Conference, South Padre Island, TX – April, 2014

On the separation of optimal spherical configurations

· University of New South Wales, Pure Math Seminar, Sydney, Australia – March 2014

Balayage Ping Pong: Convexity of Equilibrium Measures

· SIAM AN 13, MS 39: Orthogonal Polynomials: Connections and Applications, San Diego, CA – July, 2013

Asymptotics of Carleman Polynomials for Level Curves of the Inverse of a Shifted Zhukovsky Transformation

· Constructive Theory of Functions 2013, Sozopol, Bulgaria – June, 2013

Optimal s-energy configurations under external field

· Bulgarian Academy of Sciences, Institute of Mathematics, Sofia, Bulgaria – June, 2013

Characterizing stationary Logarithmic points

· University of Fribourg Colloquium, Fribourg, Switzerland – June, 2013

Characterizing stationary Logarithmic points

· 5^th Discrete Geometry and Algebraic Combinatorics Conference, South Padre Island, TX – April, 2013

Characterizing stationary Logarithmic points

· 14^th International Conference in Approximation Theory, San Antonio, TX – April, 2013

Optimal s-energy configurations under external field

· Towson University Colloquium, Towson, MD – March, 2013

Electrons, buckyballs, and orifices: Nature’s way of minimizing energy

· AMS Southeastern Sectional Meeting - Special session, Oxford, MS – March, 2013

Characterizing stationary Logarithmic points

· Vanderbilt University, Nashville, TN, Optimal Configurations Seminar – February, 2012

Optimal s-energy configurations under external field

· Vanderbilt University, Nashville, TN, Polarizations Seminar – October, 2012

On a characterization theorem for stationary Logarithmic configurations

· Western Kentucky University Colloquium, Bowling Green, KY – October, 2012

Characterizing stationary Logarithmic points

· Indiana University, Bloomington, Complex Analysis Seminar – October, 2012

Log-optimal points on the sphere

· University of Stuttgart, IANS Workshop on minimum energy problems, Stuttgart, Germany – August, 2012

Signed equilibrium and balayage – applications to minimal energy problems for logarithmic and Riesz potentials

· Bulgarian Academy of Sciences, Institute of Mathematics, Sofia, Bulgaria – July, 2012

Riesz external field problems on the hypersphere and optimal point separation

· WSPOTA 2012, Szeged, Hungary – May, 2012

Utilization of balayage techniques to minimal energy problems for logarithmic and Riesz potentials

· Vector Equilibrium Problems and their applications to random matrix problems, AIM, Palo Alto, CA – April, 2012

· AMS Sectional meeting 2012, Honolulu, HI – March, 2012

Riesz external field problems on the hypersphere and optimal point separation

· COAS Distinguished Lecturer – College of Arts and Sciences, IPFW, November 2011

Electrons, Buckyballs, and Orifices: Nature's Way of Minimizing Energy

· Barry University, Miami, FL – November, 2011

Electrons, Buckyballs, and Orifices: Nature's Way of Minimizing Energy

· University of Central Florida, Orlando, FL – November, 2011

Convexity of harmonic densities

· WKU Math Symposium, Bowling Green, KY – October, 2011

A fascinating polynomial sequence arising from an electrostatics problem on the sphere

· International Symposium in Approximation Theory, Nashville, TN – May, 2011

A fascinating polynomial sequence arising from an electrostatics problem on the sphere

· New Perspectives in Univariate and Multivariate Orthogonal Polynomials, BIRS, Banff, Canada – October, 2010

Ping pong balayage and convexity of equilibrium measures

· Troy University Colloquium, Troy, AL – November 3, 2010

Electrons, Buckyballs, and Orifices: Nature's Way of Minimizing Energy

· University of South Alabama Colloquium, Mobile, AL – October 7, 2010

Electrons, Buckyballs, and Orifices: Nature's Way of Minimizing Energy

· Math Circle, Mobile, AL – October 4, 2010 http://gauss.usouthal.edu/~mathcircle/

Famous Sequences of Numbers: The Untold Story of Difference Equations

· University of South Florida, Tampa, FL – October 1, 2010

Ping pong balayage and convexity of Riesz and logarithmic equilibrium measures

· University of South Alabama, Mobile, AL – September 30, 2010

Discrete orthogonal polynomials on the real line and constrained energy problem

· University of South Alabama Mobile, AL – September 29, 2010

Orthogonal polynomials on the real line and external field problem

· University of North Florida Colloquium, Jacksonville, FL – September 24, 2010

Ping pong balayage and convexity of equilibrium measures

· University of South Alabama Mobile, AL – September 23, 2010

On a classical theorem of potential theory in the complex plane – II

· University of South Alabama Mobile, AL – September 22, 2010

On a discrete Zolotarev problem with applications to the Alternating Direction Implicit (ADI) method.

· University of South Alabama Mobile, AL – September 21, 2010

On a classical theorem of potential theory in the complex plane – I

· University of South Alabama, Mobile, AL – September 14, 2010

Generalization of Bernstein-Erdos conjecture and the Lebesgue function

· University of South Alabama Colloquium, Mobile, AL – September 16, 2010

Minimal energy problems and applications: Ping pong balayage and convexity of equilibrium measures

· University of South Alabama, Mobile, AL – September 14, 2010

Generalization of Bernstein-Erdos conjecture and the Lebesgue function

· University of Mississippi Colloquium, Oxford, MS – September 10, 2010

Ping pong balayage and convexity of equilibrium measures

· International Conference – Constructive Theory of Functions, Sozopol, Bulgaria – June, 2010

The asymptotic behavior of Carleman orthogonal polynomials

· International Conference – Optimal Configurations on the Sphere and Other Manifolds, Nashville, TN – May, 2010

Separation results for optimal Riesz energy points on the sphere and axis-supported external fields

· 13^th International Conference in Approximation Theory, San Antonio, TX – March, 2010

The asymptotic behavior of Carleman orthogonal polynomials" – Frontiers in Orthogonal Polynomials Mini-symposium

· Computational Methods and Function Theory 2009, Ankara, Turkey – June, 2009
Axis-supported External Fields on the Sphere

· Western Kentucky University Math Symposium, Bowling Green, KY – October, 2008

School Districts on Mars, Fuel Depots on Jupiter, Inimical Dictators on Neptune?! Or How to Arrange Points on the Sphere

· Technical University Colloquium, Graz, Austria – October, 2008

Iterative balayage algorithm - applications to Riesz and logarithmic potentials

· University of South Alabama Math Circle, Mobile, AL – October, 2008

School Districts on Mars, Fuel Depots on Jupiter, Inimical Dictators on Neptune?! Or How to Arrange Points on the Sphere

· University of Mississippi Colloquium, Oxford, MS – October, 2008

Electrons, Buckyballs, and Orifices: Nature’s Way of Minimizing Energy

· Western Kentucky University Colloquium, Bowling Green, KY – January, 2008

Balayage Iteration and Minimal Energy Problems

· Modern Approaches in Asymptotics of Polynomials, BIRS, Banff, Canada – November, 2007

Iterative Balayage Techniques with Applications to Riesz and Logarithmic Potentials

· Geometric Measure Theoretic Approaches to Potentials on Fractals and Manifolds, Oberwolfach Mathematics Institute, Germany – April, 2007 "Minimal Energy Problems with Riesz External Fields and Applications"

· 12^th International Conference in Approximation Theory, San Antonio, TX – March, 2007

On an Energy Problem with Riesz External Field

· Sofia University Colloquium, Sofia, Bulgaria – June, 2006

Riesz energy points distribution

· Western Kentucky University Colloquium, Bowling Green, KY – April, 2006

Minimal Energy Points on the Sphere

· Special Session, 2005 AMS Sectional Meeting, Bowling Green, KY – March, 2005

Separation of minimal s-energy points on the sphere

· Constructive Functions Tech-04, International Conference in Georgia Tech, Atlanta, GA – November, 2004

Riesz spherical potentials with external fields and minimal energy points separation

· Special Session AMS National meeting, Phoenix, AZ – January, 2004

On a class of classical polynomials, uniformly approximating the checkmark function

· Vanderbilt University Seminar, Nashville, TN – October, 2003

On a discrete Zolotarev problem with applications to the Alternating Direction Implicit (ADI) method

· Troy University Colloquium, Troy, AL – September, 2003

Minimal Arrangements on the Sphere

· Advances in Constructive Approximation 2003, Nashville, TN – May, 2003

Polynomial Approximation of the Checkmark Function

· Sigma Xi Brown Bag talk, IPFW – December, 2002

The Science of Spherical Arrangements - Fulerenes, Electrons, and Soccer Ball Designs

· Constructive Function Theory 2002, Varna, Bulgaria – June, 2002

Optimal Point Configurations on the Sphere

· AMS regional meeting -- Special Session, Chattanooga, TN – October, 2001
Logarithmic Points on the Sphere

· Computational Methods and Function Theory 2001, Portugal – June, 2001
Minimal Discrete Energy on the Sphere

· Texas A&M Colloquium – March, 2001
The support of the equilibrium measure

· University of Houston Colloquium- Downtown – March, 2001
Soccer ball design and energy problems

· Indiana-Purdue University – April, 2000, Pi Math Club
Chemistry, Physics, and Mathematics behind the Soccer Ball Design – Or How to Distribute Dictators on a Planet

· Plovdiv University Colloquium, Plovdiv, Bulgaria – March, 2000
Minimal problems and their applications to orthogonal polynomials

· FoCM International Workshop on Minimal Energy Problems, Hong Kong – November, 1999
Constrained energy problem and applications

· University of Akron Colloquium– September, 1998
Constrained energy problem and discrete orthogonal polynomials

· Katolieke Universiteit Colloquium, Leuven, Belgium – July, 1998
Constrained Leja points and numerical solution of the constrained energy problem

· Ohio State University Seminar – November, 1997
Constrained energy problem and zero asymptotics of discrete orthogonal polynomials

Contributed Presentations:

· ICAAMM 2015, Istanbul, Turkey – June, 2015

On the Checkmark Function Polynomial Approximation

· MAA Indiana Sectional Meeting, Fort Wayne, IN – April, 2014

On the separation of optimal spherical configurations

· MAA Indiana Sectional Meeting, Indianapolis, IN – October, 2011

A fascinating polynomial sequence arising from an electrostatics problem on the sphere

· 11^th International Conference in Approximation Theory, Gatlinburg, TN – May, 2004

On a discrete Zolotarev problem and its applications to the Alternating Direction Implicit (ADI) method

· Sigma Xi National Meeting, Galveston, TX – November, 2002
Spherical Arrangements with Minimal Energy

· 10^th International Conference in Approximation Theory, St. Louis, MO – March, 2001
Discrete Logarithmic Energy on the Sphere

· NATO ASI and International Conference on Special Functions 2000, Tempe, AZ – June, 2000
The support of the equilibrium measure for a class of external fields on a finite interval

· AMS regional meeting – Contributed Papers Session, Buffalo, NY – April, 1999
Constrained Leja Points and Applications