Alberto Damiano - Publications and Contributions to Mathematics                        <BACK TO MY HOMEPAGE>

| CURRICULUM | PAPERS | COMPUTER ALGEBRA | CONFERENCES |THESES |

 

CURRICULUM VITAE    Download it here in [DOC] format,  [QUI] in Italiano

 

PAPERS AND PREPRINTS

A. Damiano, D.C. Struppa, A. Vajiac, M.B. Vajiac, to appear on J. Geom. An.

 

• Antisyzygies for systems of differential equations

A. Damiano, D. Eelbode, I. Sabadini to appear on Math. Z. (2008)   • Invariant syzygies for the Hermitian Dirac operator

A. Damiano, D. Eelbode, I. Sabadini C. R. Acad. Sci. Paris, Ser. I 346 (2008) 139–142

 

PDF

• Algebraic analysis of Hermitian monogenic functions

A. Damiano, D. Eelbode, to appear on AACA

 

• Invariant operators between spaces of h-monogenic polynomials

A. Damiano, V. Souček, in T.Simons et al. (Eds.): AIP Proceedings, New York, 734-737

 

PDF

•  Dirac operator in several variables and combinatorial identities

A. Damiano,  Arch. Math. 42 (2007) suppl. 197—211

PDF

•  Algebraic analysis of the Rarita-Schwinger operator in dimension three

 

F. Colombo, A. Damiano, I. Sabadini, D.C. Struppa, J. Geom. An. 3 (2007)

PDF

•  Quaternionic hyperfunctions on 5-dimensional varieties in H2

A. Damiano, I. Sabadini, D.C. Struppa, Exp. Math.16 (2007) no.1, 41—53

PDF

 

•  Computational methods for the construction of a class of noetherian operators

J. Bureš, A. Damiano, I. Sabadini, J. Geom. Phys 57 (2007), no. 3, 765—775

PDF

•  Explicit resolution for the complex of several Fueter operators

A. Damiano, Adv. Appl. Cliff. Alg. 17 (2007)  343—355

PDF

 

• Syzygies of multi-variable higher spin operators in R3

F. Colombo, A. Damiano, Houston J. of Math. 32 (2006),  895--920

 

 DVI

•  Identification of the memory kernel and the heat source for a phase-field model

 

A. Damiano, I. Sabadini, D.C. Struppa. Complex Var. Elliptic Equ. 51 (2006), no. 5-6, 497--510.

PDF

•  New algebraic properties of biregular functions in 2n quaternionic variables

 

F. Colombo, A. Damiano, I. Sabadini, D.C. Struppa, Complex Var.Theory Appl. 50 (2005), no. 6,  389—400

PDF

•  A surjectivity theorem for differential operators on spaces of regular functions

F. Colombo, A. Damiano, I. Sabadini, D.C. Struppa, to appear in proceedings of the ISAAC 2005 conference

PDF

 

 

•  A new Dolbeault complex in quaternionic and Clifford analysis

L. Kershberg, A. Damiano, S. Mitchell, S. Smith, M. Chowdry, H. Jeong. SSDBM 2004, Santorini (Greece), Proceedings.

DOC

•  Knowledge Sifter, an ontology driven system search for heterogeneous databases

S. A. Mitchell, S. Smith, A. Damiano, J. Durgavich, R. MacCracken. Proceedings of the SAE Motorsports Conference 2004 (Dearborn, MI)

 

PDF

•  Use of genetic algorithms with multiple metrics aimed at the optimization of automotive suspension systems

 

Preprints

 

 

A. Damiano, V. Souček, in preparation

 

• First order SL(k)-invariant operators: an algorithm

A. Damiano, in preparation

 

• Using GR-algebras for the Dirac resolution

A. Damiano, G. Gentili, D.C. Struppa, submitted

 

• Computations in the ring of quaternionic polynomials

A. Damiano, D. Eelbode, I. Sabadini submitted

 

• Quaternionic Hermitian spinor systems and compatibility conditions

A. Damiano, M. Mannucci, L. Sparks, D.C. Struppa, submitted

 

• A combinatorial point of view on social structures and human aggregation

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Contributions to Computer Algebra

 

 

FILE DESCRIPTION YEAR
ext.cpkg

CoCoA package for the computation of the Ext modules, included in CoCoA starting from version 4.4

NEWS 2005: the package now contains an implementation of the minimal presentation of EXT

 

2001
coala.cpkg CoCoA package for the applications of commutative algebra to the algebraic analysis of linear constant coefficient systems of partial differential equations, not distributed with CoCoA

 

2005
operators.cpkg CoCoA package for the applications of commutative algebra to the representation theory of GL(n), and for the calculation of the Dirac complex in several vector variables 2007

 

 

 

Conferences and Seminars

 

                       

 

WHEN

MEETING NAME FILE TOPIC PRESENTED WHERE  

• April 2003

East Coast Computer Algebra Day

 (poster)

Algebraic Analysis topics

Clemson, NC, USA

• June 2003

CoCoA VIII international school and conference

 (poster)

Algebraic Analysis topics

Cadiz, Spain

 • May 2004

GMU Conference in honor of Carlos Berenstein’s Birthday

 NA

Noetherian operators

Fairfax, VA, USA

• June 2004

SSDBM 2004

 (poster)

Knowledge Sifter

Santorini, Greece

• September 2004

Computer Algebra and Applications, school and conference

 SLIDES

Noetherian operators

Politecninco di Torino,  Italy

• November 2004

Mid Atlantic Algebra Conference, GMU  SLIDES Noetherian operators Fairfax, VA, USA

• November 2004

Algebra and Combinatorics seminar, GMU

 SLIDES

Noetherian operators

Fairfax, VA, USA

• May 2005

CoCoA 2005 international school

 (poster)

Biregular functions

 Alghero, Italy

• May/June 2005

MEGA, Effective Methods in Algebraic Geometry

 SLIDES

Megaforms

 Alghero, Italy

• June 2005

Symbolic computation seminar at RICAM (board) Algebraic Analysis Linz, Austria

• July 2005

ISAAC 2005 – section on Dirac operators and applications

 SLIDES

Biregular functions

Catania, Italy

• October 2005

Differential Geometry seminar,  Charles University

(board)

Algebraic Analysis topics

Prague, Czech Republic

• October 2005

Central European Seminar, Masaryk University (board) Biregular functions Brno, Czech Republic

• November 2005

Eduard Čech Center meeting (board) Rarita-Schwinger operator  Telč, Czech republic

• January 2006

Winter School Geometry and Physics  SLIDES Rarita-Schwinger operator Srnν, Czech Republic

• March 2006

Visiting Irene Sabadini at Politecnico di Milano NA Hilbert series for Dirac operator Milan, Italy

• March 2006

Central European Seminar, Masaryk University (board) ?Invariant? Groebner Bases Brno, Czech Republic

• May 2006

Visiting Franco Magri at Milano Bicocca  SLIDES Algebraic Analysis topics Milan, Italy

• June 2006

Function Theory in Higher Dimensions,. Tampere U. Tech. SLIDES Higher-spin Dirac operators Tampere, Finland

         • July 2006

ISSAC 2006, University of Genova NA Groebner Bases Genova, Italy

• November 2006

Eduard Čech Center meeting SLIDES Invariant Dirac syzygies Telč, Czech Republic

• January 2007

Winter School Geometry and Physics  SLIDES Dirac syzygies in 3 variables Srnν, Czech Republic

• February 2007

Mathematics seminar, Chapman University (board) Invariant Dirac syzygies Orange, CA, USA

• March 2007

Visiting I. Sabadini at Politecnico di Milano, with D. Eelbode NA Hermitian Dirac operators Milan, Italy

• May 2007

Central European Seminar, Masaryk University (board) SL(n)-invariant operators Brno, Czech Republic

• June 2007

CoCoA 2007 international school (poster) Young Tableaux and Dirac ops Hagenberg, Austria

• September 2007

Mathematics seminar, Chapman University (board) Solvable algebras in Singular Orange, CA, USA

• January 2008

Visiting Irene Sabadini at Politecnico di Milano NA Clifford valued polynomials Milan, Italy

• January 2008

Visiting Graziano Gentili at Universita' di Firenze NA Quaternionic polynomials Florence, Italy
• March 2008 Chapman University, mathematics seminar (board) GR-algebras for the Dirac op Orange, CA, USA
• April 2008 California State University, mathematics seminar (board) Algebraic Analysis Fullerton, CA, USA
• May 2008 Visiting Franco Magri at Milano Bicocca NA Henon Heiles equations Milan, Italy
• June 2008 Visiting Vladimir Souček at Charles University NA Hilbert-Poincare series, Dirac ops Prague, Czech Republic
• July 2008 First De Brun workshop in computational algebra NA Comp. Algebra & Rep. Theory Galway, Ireland
 
 
THESES
 
- Master thesis 
  Title:  Applicazioni dell'Algebra Computazionale allo Studio di alcuni Operatori Differenziali (in Italian)
  Advisor:  Lorenzo Robbiano, University of Genova

- Ph.D. Dissertation
   Title: Computational Approach to some Problems in Algebraic Analysis
   Advisor:  Daniele Struppa, George Mason University, Fairfax, VA (now at Chapman University, Orange, CA)

 

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