Daniele C. Struppa
(714) 997-6826 (office)
(714) 997-6801(fax)
struppa@chapman.edu

Education:

Ph.D. in Mathematics, University of Maryland, 1981.

Laurea in Matematica, University of Milano (Italy), 1977.

Recent Academic Positions:

Chancellor, Chapman University, 2006 to present.

Dean, College of Arts and Sciences, George Mason University, 1997 to 2006.

Associate Dean for Graduate Studies, College of Arts and Sciences, George Mason University, 1996 to 1997.

Chair, Department of Mathematical Sciences, George Mason University, 1994 to1996.

Professor, George Mason University, 1989 to 2006.

Recent Community Involvement:

Technical Advisor and Chair of Advisory Board to Holomathics, Inc., 2006 to present.

Member of Board of STATS, 2004 to present.

Member of Board of Center for Media and Public Affairs, 2004 to present.

Member of Board of Center for Arts and Policy, 2004 to 2006.

Technical Advisor and member of Advisory Board to Human Bionics, Inc., 2004 to present.

Member of Center for Excellence in Education, DC Advisory Board, 2003 to present.

Treasurer and member of Fall for the Book Festival Board, 1999 to 2006.

Member of the Virginia for the Humanities Board, 1999 to 2005.

Scholarly Activities:

Author of more than 100 mathematical publications (including two full length books), and editor of several volumes.

Lectured widely in Europe (Italy, France, Belgium, Sweden, Germany, UK, Russia, Ukraine), Japan, Mexico, China, India, and the U.S.

Reviewer and referee for Math Reviews, Zentralblatt, National Science Foundation, Italian Ministry of Research and several mathematical journals.

Organizer, or co-organizer, of more than 20 conferences in mathematics and signal processing.

Grants:

My research and administrative work have been supported by  many intramural grants at GMU, several national grants in Italy (CNR, Ministry of Education, Ministry of Research), as well as by the European Community (Comett and Med-Campus projects), NATO, NSF, DOE, and the Luce Foundation.

Honors and Awards:

In 1981 I was the recipient of the prestigious Bartolozzi Prize, from the Italian Mathematical Union (the prize is awarded every two year to an Italian mathematician under the age of 33).

In 1987 I received the Matsumae Medal, awarded by the Matsumae International Foundation of Tokyo.

In 2006, the BIO-IT Coalition (a non-profit organization based in Washington DC, and dedicated to the support of bioinformatics) has established a new prize, designed to honor high school teachers in math, science, and technology. In recognition of my involvement in the Coalition, the prize has been named the “Professor Daniele Struppa Award”.

Patents:

Denoising of Speech Signals through Embedding Thresholding (joint with Napoletani, Berenstein, Sauer, and Walnut), provisional application # 60/562,534, final application # 11/106,669.

Greedy Regression Microarrays for Classification (joint with Napoletani and Sauer), provisional application # 60/687,868.

Scientific Interests:

My doctoral dissertation [1, see list of selected publications below] was concerned with the proof of an exponential representation theorem for solutions of homogeneous systems of convolution equations in various spaces of generalized functions.  Since then I have expanded my interests which now fit in the mold of Algebraic Analysis and Systems of Infinite Order Differential Equations.  Much of my recent work is collected in the recent books [34] and [42]. I also cultivate an interest in signal processing and control theory, as well as in the history of mathematics.

As the selection of papers below show, I have a long history of intense collaborations with Russian institutions (mostly with faculty at the Steklov Institute in Moscow) and with Japanese institutions (especially with the Research Institute for Mathematical Sciences of Kyoto University).

In collaboration with Kawai (Kyoto, Japan) and Berenstein (Maryland) I have explored how theta zero-value functions can be studied from the point of view of the theory of systems of infinite order differential equations [27], [28].  This study seems to lend support to some ideas originally put forward by Sato in the ‘70s.  This framework has lead to a new approach to the classical and beautiful theory of lacunary Taylor series ([24], [25], [27]).

In collaboration with Palamodov (Moscow), Loustaunau (DFI, Inc.), Berenstein and Adams (Maryland), Sabadini and Colombo (Milano, Italy), Damiano and Soucek (Prague, Czech Republic), and Sommen (Ghent, Belgium),  I have recently tackled the problem of the (algebraic) analysis of the Cauchy-Fueter system, whose solutions are regular functions of several quaternionic variables.  The result we have obtained in this field are quite interesting and surprising and they culminate in the book [42].  Additional information on more recent advances is available on the website of my research group CoAlA (www.tlc185.com/coala).

I have also contributed to applications of mathematics to signal processing and control theory. A few examples are papers [2], [5], [16], as well as [54] and [55], which contains results which have originated two provisional patents.

My interest in the History of Mathematics is witnessed by papers [22], [23] and [32].
 

List of Selected Mathematics Publications
(the almost complete list is available on www.ams.org/mathscinet)

[1] The fundamental principle for systems of convolution equations. Mem. Amer. Math. Soc. 41 (1983), no. 273, iv + 1-167.

[2] On explicit solutions to the Bezout equation (with C.A. Berenstein). Systems Control Lett. 4 (1984), no. 1, 33-39.

[3] A duality theorem for complex manifolds (with C. Turrini). Math. Z. 188 (1985), no. 2, 189-201.

[4] Equivalence of Cauchy problems for entire and exponential type functions (with A. Meril).  Bull. London Math. Soc. 17 (1985), no. 5, 469-473.

[5] 1-inverses for polynomial matrices of non-constant rank (with C. A. Berenstein). Systems Control Lett. 6 (1986), no. 5,  309-314.

[6] Projective manifolds with the same homology as Pk (with A. Lanteri). Monatsh. Math. 101 (1986), no. 1, 53-58.

[7] Convolution equations and spaces of ultradifferentiable functions. Israel J. Math. 54 (1986), no. 1, 60-70.

[8] Projective manifolds whose topology is strongly reflected in their hyperplane sections (with A. Lanteri).  Geom. Dedicata 21 (1986), no. 3, 357-374.

[9] Convolution equations in spaces of distributions supported by cones (with A. Meril).
Proc. Amer. Math. Soc. 100 (1987), no.1, 70-74.

[10] Projective 7-folds with positive defects (with A. Lanteri). Compositio Math. 61 (1987), no. 3, 329-337.

[11] Solutions of convolution equations in convex sets (with C.A. Berenstein). Amer. J. Math. 109 (1987), no. 3, 521-544.

[12] On the Fabry-Ehrenpreis-Kawai gap theorem (with C.A. Berenstein). Publ. Res. Inst. Math. Sci. 23 (1987), no. 3, 565-574.

[13] Minimal degree solutions for the Bezout equation (with E. Ballico).  Kybernetika (Prague) 23 (1987), no. 5, 360-364.

[14] Convolutors in spaces of holomorphic functions (with A. Meril). Complex Analysis II (College Park, Md., 1985-86) 253-275, Lecture Notes in Math., 1276, Springer, Berlin, 1987.

[15] Phenomene de Hartogs et equations de convolution (with A. Meril) (French).
 Seminaire d’Analyse P. Lelong - P. Dolbeault  - H. Skoda, Annees 1985-86, 146-156, Lecture Notes in Math., 1295, Springer, Berlin, 1987.

[16] Small degree solutions for the polynomial Bezout equation (with C.A. Berenstein).
Linear Algebra Appl. 98 (1988), 41-55.

[17] Dirichlet series and convolution equations (with C.A. Berenstein). Publ. Res. Inst. Math. Sci. 24 (1988), no. 5, 783-810.

[18] Complex Analysis and Convolution Equations (with C.A. Berenstein). Itogi Nauki-Seriya Matematika 5 (1989), 5-110 (in Russian). The English edition is Chapter 1 in Volume 54 (Several Complex Variables V., G.M. Henkin, ed.), Encyclopedia of Mathematical Sciences, Springer Verlag, 1993, 1-108.

[19] On the existence of holomorphic solutions of systems of linear differential equations of infinite order and with constant coefficients (with T. Kawai). Internat. J. Math. 1 (1990), no.1, 63-82.

[20] Factorization of solutions of convolution equations II (with G. Marino and P. Pietramala). Illinois J. Math. 35 (1991), no. 3, 419-433.

[21] Recent improvements in the complexity of the effective Nullstellensatz (with C.A. Berenstein).  Linear Algebra Appl. 157 (1991), 203-215.

[22] An extension of Fantappie’s theory of analytic functionals. Geometry and complex variables (Bologna, 1988/1990), 329-356, Lecture Notes in Pure and Appl. Math., 132, Dekker, New York, 1991.
 
[23] Pincherle's contribution to the Italian school of analytic functionals (with C. Turrini) (Italian). Conference on the History of Mathematics (Cetraro, 1988), 551—560, Sem. Conf., 7, EditEl, Rende, 1991.

[24] Sheaves of holomorphic functions with growth conditions (with C.A. Berenstein).  D-Modules and Microlocal Geometry  (Lisbon 1990), 63-74, de Gruyter, Berlin, 1993.

[25] Interpolation theorems in several complex variables and applications,
 (with C.A. Berenstein and T. Kawai).  Functional Analysis and Related Topics, 1991 (Kyoto), 1-9, Lecture Notes in Math., 1540, Springer, Berlin, 1993.

[26] Sheaves of quaternionic hyperfunctions and microfunctions (with A. Fabiano
 and G. Gentili).  Complex Variables Theory Appl. 24 (1994), no. 3-4, 161-184.

[27] Interpolating varieties and the Fabry-Ehrenpreis-Kawai gap theorem (with C.A. Berenstein and T. Kawai). Adv. Math. 122 (1996), no. 2, 280-310.

[28] Exponential representation of a holomorphic solution of a system of differential equations associated with the theta-zero value (with C.A. Berenstein, T. Kawai and Y. Takei).  Structure of  Solutions of Differential Equations (Katata/Kyoto, 1995), 89-102, World Sci. Publishing, River Edge, NJ, 1996.

[29] Hartogs’ phenomenon for polyregular functions and projective dimension of a related module over a polynomial ring (with W.W. Adams, P. Loustaunau and V.P. Palamodov).  Ann. Inst. Fourier (Grenoble) 47 (1997), no. 2, 623-640.

[30] On the “grouping” phenomenon for holomorphic solutions of infinite order differential equations.  Exact WKB analysis and Fourier analysis in the complex domain (Japanese) (Kyoto, 1997), Sukenkyokuruku 1001 (1997), 22-38.

[31] Regular functions of a biquaternionic variable and the Maxwell equations (with F. Colombo, P. Loustaunau and I. Sabadini). J. Geom. Phys. 26, (1998), no. 3-4, 183-201.

[32] Complex analysis.  La Matematica Italiana dopo l’Unita’, 159-184 (in Italian), Marcos y Marcos, Milano, 1998.

[33] Grobner bases and partial differential equations. Grobner Bases and Applications (Linz, 1998), 235-245, London Math. Soc. Lecture Note Ser., 251, Cambridge Univ. Press, Cambridge, 1998.

[34] Fundamentals of Algebraic Microlocal Analysis (with G. Kato). Monographs and Textbooks in Pure and Applied Mathematics, 217. Marcel Dekker, Inc., New York, 1999. xii + 296 pp.

[35] Regular functions of several quaternionic variables and the Cauchy-Fueter complex
(with W.W. Adams, C.A. Berenstein, P. Loustaunau and I. Sabadini). J. Geom. Anal. 9, (1999), no. 1, 1-15.

[36] Dirac equation in the octonionic algebra (with F. Colombo and I. Sabadini). Analysis, geometry, number theory: the mathematics of Leon Ehrenpreis (Philadelphia, PA, 1998), 117-134, Contemp. Math., 251, Amer. Math. Soc., Providence, RI, 2000.

[37] Clifford Analysis and Its Applications (ed. with J. Ryan), Proceedings of the Conference held in Cetraro (Italy), July 1999, Adv. Appl. Clifford Algebras 11 (2001), no. S1.

[38] Overconvergence phenomena and grouping in exponential representation of solutions of linear differential equations of infinite order (with T. Kawai), Adv. Math. 161 (2001), no. 2, 131-140.

[39] Complexes of Dirac operators in Clifford algebras (with I. Sabadini, F. Sommen and P. Van Lancker), Math. Z. 239 (2002), no. 2, 293-320.

[40] Syzygies and conservation laws (with F.Colombo, I.Sabadini, F.Sommen). Found. Phys. Lett. 15 (2002), no. 6, 507-522.

[41] The Dirac complex on abstract vector variables: megaforms (with I.Sabadini, F.Sommen). Experiment. Math. 12 (2003), no. 3, 351-364.

[42] Analysis of Dirac Systems and Computational Algebra (with F. Colombo, I. Sabadini, and F. Sommen). Progress in Mathematical Physics. Birkhauser, Boston, 2004.

[43] Attenuated embedding estimates for speech signals (with D. Napoletani, C.A. Berenstein, T. Sauer, and D. Walnut). Acoustics, Speech, and Signal Processing, 2005, Proceedings ICASSP 2005, Vol. 4, 445-448.

[44] Harmonic Analysis, Signal Processing and Complexity. Festschrift in honor of the 60th birthday of Carlos A. Berenstein (edited volume with I. Sabadini and D. Walnut), Progress in Mathematics, Birkhauser, Boston, 2005.

[45] Quotient signal estimates (with D. Napoletani, C.A. Berenstein, and V. Krishnaprasad), “Harmonic Analysis, Signal Processing, and Complexity”, I. Sabadini, D. C. Struppa, and D. Walnut eds.,  Progress in Mathematics, Birkhauser, Boston, 2005, 151-162.

[46] A surjectivity theorem for differential operators on spaces of regular functions (with A.Damiano and I.Sabadini), Complex Variables 50 (2005), 389-400.

[47] Invariant resolutions for several Fueter operators (with F.Colombo and V.Soucek),  J. Geom. Phys. 56 (2006), no. 7, 1175-1191.

[48] Computational methods for the construction of a class of noetherian operators (with A.Damiano and I.Sabadini), Experimental Mathematics, 2006.

[49] New algebraic properties of biregular functions in 2n quaternionic variables (with A.Damiano and I.Sabadini), Complex Var. Elliptic Equ. 51 (2006), no. 5-6, 497-510.

[50] A new Dolbeault complex in quaternionic and Clifford analysis (with F.Colombo, A.Damiano, and I.Sabadini), to appear in Proceedings Fifth ISAAC Conference, Catania 2005.

[51] Quaternionic hyperfunctions on 5-dimensional varieties in H2 (with F.Colombo, A.Damiano, and I.Sabadini), preprint, 2005.

[52] A new approach to Cullen-regular functions of a quaternionic variable (with G. Gentili), C.R.Acad. Sci. Paris, Ser. I, 342 (2006), 741-744.

[53] A new theory of regular functions of a quaternionic variable (with G. Gentili), preprint no. 5, University of Florence, March 2006.

[54] Dissipative functional microarrays for classification of crystallization patterns (with C. Bailey, V. Morozov, D.Napoletani, T.Sauer, and N.Vsevolodov), preprint, 2006.

[55] Delay-Coordinates Embeddings as a Data Mining Tool for Denoising Speech Signals. (with C.A.Berenstein, D.Napoletani, T.Sauer, and D.Walnut), preprint, 2006.

Selected Non-Mathematical Works:

[1]  Pure and applied mathematics: the American model of knowledge transfer (in Italian), Proc. Symp. “Il pensiero matematico nella cultura e nella societa’ degli anni ‘90”, Milano 1990, 215-240.

[2] New US channels for the dissemination of EEC Science/R&D and CEE information (with P.Loustaunau), Proc. Symp. “Continuing Education in Engineering”, Lisbon 1992.

[3] Looking for the logos in technology (with D. Holisky and J. Sparrow).  Inventio, Fall 1999.

[4] The art of Alex Bay, in “Alex Bay, Constructions and Assemblages 1996-1998”, New York, 1999.

[5] The nature of interdisciplinarity, Perspectives: The Journal of the Association for General and Liberal Studies, Vol. 30, No. 1 (2000), 97-105.

[6] The esthetic in mathematics (with D.Napoletani) (in Italian), Lett. Mat. Pristem No. 39-40 (2001), 44-51.

[7] Something out of nothing over a double mocha-latte, A mathematical play written in collaboration with Patricia Smith Melton, and performed at George Mason University in May 2004, under the direction of Rick Davis.

[8] The Savvy Fundraiser: A Practical Guide to University Fundraising for Deans and Other Administrators (with L.Sparks), Bent Tree Press, 2006.