Curriculum Vitae

Peter Dragnev
Department of Mathematical Sciences
Indiana-Purdue University
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 State University, Sofia, Bulgaria.

Employment Experience:

07/11 – 12/11, 07/12 – present: 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.

Research Interests:

Real and Complex Analysis; Approximation Theory; Potential Theory; Orthogonal Polynomials; minimal energy problems, logarithmic potentials, asymptotics of discrete orthogonal polynomials, Lebesgue function; points on the sphere;
Mathematics Subject Classification Numbers: 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.
Mini-Symposium Organizer, 12th International Conference in Approximation Theory, San Antonio, TX – March, 2007.
CONSTRUCTIVE FUNCTIONS  2014 – Scientific Committee member

Research Grants:

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"

Awards:

 

IPFW Featured Faculty – 2013

Pippert Science Research Scholar – 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
Pippert Science Research Scholar – 2003
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, Purdue University
IU Overseas Conference Fund Grant – 1999, 2007, 2009, 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.        P. D. Dragnev, On a characterization theorem for stationary Logarithmic configurations, Oberwolfach reports, no. 40 (2012), 13-15, DOI: 10.4171/OWR/2012/40.

2.        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.

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

4.        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.

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

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

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

8.        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.

9.        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

10.     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.

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

12.     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.

13.     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.

14.     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.

15.     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.

16.     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.

17.     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.

18.     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.

19.     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.

20.     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.

21.     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.

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

 

 

 

Invited Presentations:

 

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

        On a characterization theorem for stationary Logarithmic configurations

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

        Characterizing stationary Logarithmic points

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

        Log-optimal points on the sphere

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

Discrete Minimal Energy Problems – Parts I and II

·         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 – Orthogonal Polynomials Mini-                symposium

·         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

·         13th 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"

·         12th 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:

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

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

·         11th 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

·         10th 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