STEFANO CAPPARELLI

Associate professor


email: stefano.capparelli@uniroma1.it
phone: 0649766682
building: RM001


Stefano Capparelli is an Associate Professor of Geometry at the Faculty of Engineering, Sapienza, since 1999. Habilitated as as Full Professor in Geometry. Previously he was Ricercatore Universitario of Algebra, from 1992 until 1999 at the Mathematics Department of Sapienza University. From 1990 to 1992 he was an adjunct professor at the University of Utah, Salt Lake City, USA. From 1988 to 1990 he was J.W. Gibbs Instructor at the Mathematics Department of Yale Uiversity, New Haven, CT, USA. He received a Laurea in Matematica at Sapienza University in 1981 and Ph.D in Mathematics from Rutgers University, New Brunswick, NJ, USA. He was part of a team receiving an NSF grant in 1989 and 1990. He was also a participant in various PRIN in Italy, and coordinate various local research projects (Sapienza). He taught graduate courses at Yale University and at Sapienza. He visited several scientific institutions, among which USP (Sao Paulo, Brasil), Schroedinger Institute (Vienna), Rutgers University (USA), Zagreb University (Croatia).
His main interest is in the representation theory of infinite dimensional Lie algebras and connections with the combinatorics of integer partitions, in particular identities of the Rogers-Ramnujan type. He has also studied irreducibility questions of polynomials and the combinatorics of orthogonal polynomials.

Research products

11573/1674328 - 2022 - New partition identities from $C_{\ell}^{(1)}$-modules
Capparelli, Stefano; Meurman, Arne; Primc, Andrej; Primc, Mirko - 01a Articolo in rivista
paper: GLASNIK MATEMATICKI. SERIJA 3 (University of Zagreb Mathematics Department:Bijenicka 30, 10000 Zagreb Croatia:011 385 1 460577, EMAIL: glasnik@math.hr, Fax: 011 385 1 4680335) pp. 161-184 - issn: 0017-095X - wos: WOS:000921448900001 (1) - scopus: 2-s2.0-85145388675 (1)

11573/1458390 - 2020 - Some partition and analytical identities arising from the Alladi, Andrews, Gordon bijection
Capparelli, S.; Del Fra, A.; Mercuri, P.; Vietri, A. - 01a Articolo in rivista
paper: RAMANUJAN JOURNAL (Kluwer Academic Publishers) pp. - - issn: 1382-4090 - wos: WOS:000585789200001 (0) - scopus: 2-s2.0-85095116751 (0)

11573/1362954 - 2020 - Searching for hyperbolic polynomials with span less than 4
Capparelli, S.; Del Fra, A.; Vietri, A. - 01a Articolo in rivista
paper: EXPERIMENTAL MATHEMATICS (A K Peters Limited:63 South Avenue:Natick, MA 01760:(508)655-9933, EMAIL: service@akpeters.com, INTERNET: http://www.akpeters.com, Fax: (508)655-5847) pp. 1-13 - issn: 1058-6458 - wos: WOS:000506556800001 (0) - scopus: 2-s2.0-85077893609 (0)

11573/1117682 - 2019 - Widened derangements and generalized Laguerre polynomials
Capparelli, Stefano; Del Fra, Alberto; Pepe, Valentina - 01a Articolo in rivista
paper: RAMANUJAN JOURNAL (Kluwer Academic Publishers) pp. 269-286 - issn: 1382-4090 - wos: WOS:000467645800003 (1) - scopus: 2-s2.0-85049771837 (1)

11573/1066440 - 2018 - Root power sums and Chebyshev polynomials
Capparelli, Stefano - 01a Articolo in rivista
paper: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS (Rocky Mountain Mathematics Consortium:Department of Mathematics, Arizona State University, Box 871904:Tempe, AZ 85287:(480)449-3667, EMAIL: rmmc@asu.edu, INTERNET: http://www.math.la.asu.edu/~rmmc, Fax: (775)254-5018) pp. 59-74 - issn: 0035-7596 - wos: WOS:000431383800004 (0) - scopus: 2-s2.0-85046788590 (0)

11573/1066494 - 2018 - A generalization of the "probléme des rencontres"
Capparelli, Stefano; Maria Ferrari, Margherita; Munarini, Emanuele; Zagaglia Salvi, Norma - 01a Articolo in rivista
paper: JOURNAL OF INTEGER SEQUENCES (Basking Ridge, NJ : AT & T Corp., 1998-) pp. 1-26 - issn: 1530-7638 - wos: WOS:000432749600005 (10) - scopus: 2-s2.0-85044720542 (10)

11573/951145 - 2017 - On symplectic semifield spreads of PG(5,q2), q even
Capparelli, Stefano; Pepe, Valentina - 01a Articolo in rivista
paper: JOURNAL OF ALGEBRAIC COMBINATORICS (Kluwer Academic Publishers / Massachusetts:PO Box 358, Accord Station:Hingham, MA 02018:(617)871-6600) pp. 1-12 - issn: 0925-9899 - wos: WOS:000406642800002 (3) - scopus: 2-s2.0-85011846089 (3)

11573/816836 - 2015 - Appunti di Matematica Discreta
Capparelli, Stefano - 03c Manuale Didattico
book: Appunti di Matematica Discreta - (9788874888474)

11573/815306 - 2015 - Dyck paths, Motzkin paths, and the binomial transform
Capparelli, Stefano; Del Fra, Alberto - 01a Articolo in rivista
paper: JOURNAL OF INTEGER SEQUENCES (Basking Ridge, NJ : AT & T Corp., 1998-) pp. 1-20 - issn: 1530-7638 - wos: WOS:000361004400005 (2) - scopus: 2-s2.0-84938937942 (2)

11573/815711 - 2015 - Geometria
Capparelli, Stefano; Del Fra, Alberto - 03c Manuale Didattico
book: Geometria - (9788874888856)

11573/526270 - 2014 - Some Results on a Class of Polynomials Related to Convolutions of the Catalan Sequence
Capparelli, Stefano; Paolo, Maroscia - 01a Articolo in rivista
paper: MEDITERRANEAN JOURNAL OF MATHEMATICS (Basel [etc.] : Birkhäuser, 2004-) pp. 255-271 - issn: 1660-5446 - wos: WOS:000335233600003 (3) - scopus: 2-s2.0-84899989658 (3)

11573/513962 - 2013 - On Two Sequences of Orthogonal Polynomials Related to Jordan Blocks
Capparelli, Stefano; Paolo, Maroscia - 01a Articolo in rivista
paper: MEDITERRANEAN JOURNAL OF MATHEMATICS (Basel [etc.] : Birkhäuser, 2004-) pp. 1609-1630 - issn: 1660-5446 - wos: WOS:000326048500001 (8) - scopus: 2-s2.0-84886639685 (8)

11573/513963 - 2013 - A collection of results on Hamiltonian cycle systems with a nice automorphism group
Marco, Buratti; Capparelli, Stefano; Francesca, Merola; Gloria, Rinaldi; Tommaso, Traetta - 04c Atto di convegno in rivista
paper: ELECTRONIC NOTES IN DISCRETE MATHEMATICS (Amsterdam : Elsevier) pp. 245-252 - issn: 1571-0653 - wos: (0) - scopus: 2-s2.0-84878136874 (5)
conference: Combinatorics 2012 (Perugia)

11573/510032 - 2012 - Alcuni problemi di matematica discreta
Capparelli, Stefano; P., Maroscia - 01a Articolo in rivista
paper: PROGETTO ALICE (Roma: Casa Editrice Pagine s.r.l) pp. 379-409 - issn: 1972-0475 - wos: (0) - scopus: (0)

11573/229658 - 2010 - Hamiltonian paths in the complete graph with edge-lengths 1, 2, 3
Capparelli, Stefano; Del Fra, Alberto - 01a Articolo in rivista
paper: ELECTRONIC JOURNAL OF COMBINATORICS (N.J. Calkin and H.S. Wilf, Atlanta, Ga.) pp. 1-13 - issn: 1077-8926 - wos: WOS:000275517300003 (9) - scopus: 2-s2.0-77955596729 (13)

11573/429155 - 2010 - Geometria
Capparelli, Stefano; Del Fra, Alberto - 03c Manuale Didattico
book: Geometria - (9788874883790)

11573/227177 - 2010 - On the span of polynomials with integer coefficients
Capparelli, Stefano; Del Fra, Alberto; Carlo, Scio - 01a Articolo in rivista
paper: MATHEMATICS OF COMPUTATION (American Mathematical Society:PO Box 6248:Providence, RI 02940:(800)321-4267, (401)455-4000, EMAIL: cust-serv@ams.org, gma@math.ams.org, INTERNET: http://www.ams.org, Fax: (401)331-3842) pp. 967-981 - issn: 0025-5718 - wos: WOS:000276602500015 (9) - scopus: 2-s2.0-85050649544 (11)

11573/64820 - 2010 - Cyclic Hamiltonian cycle systems of the lambda-fold complete and cocktail party graphs
Marco, Buratti; Capparelli, Stefano; Del Fra, Alberto - 01a Articolo in rivista
paper: EUROPEAN JOURNAL OF COMBINATORICS (Elsevier Science Limited:Oxford Fulfillment Center, PO Box 800, Kidlington Oxford OX5 1DX United Kingdom:011 44 1865 843000, 011 44 1865 843699, EMAIL: asianfo@elsevier.com, tcb@elsevier.co.UK, INTERNET: http://www.elsevier.com, http://www.elsevier.com/locate/shpsa/, Fax: 011 44 1865 843010) pp. 1484-1496 - issn: 0195-6698 - wos: WOS:000278729800025 (8) - scopus: 2-s2.0-77951880236 (11)

11573/48383 - 2006 - The Rogers-Selberg recursion, the Gordon-Andrews identities and intertwining operators
Capparelli, Stefano; Lepowsky, J; Milas, A. - 01a Articolo in rivista
paper: RAMANUJAN JOURNAL (Kluwer Academic Publishers) pp. 379-397 - issn: 1382-4090 - wos: WOS:000242366700007 (50) - scopus: 2-s2.0-33751509843 (47)

11573/68141 - 2004 - On some theorems of Hirschhorn
Capparelli, Stefano - 01a Articolo in rivista
paper: COMMUNICATIONS IN ALGEBRA (-PHILADELPHIA, USA: TAYLOR & FRANCIS INC, -[New York] M. Dekker.) pp. 629-635 - issn: 0092-7872 - wos: WOS:000220034100014 (4) - scopus: 2-s2.0-22544465584 (4)

11573/68140 - 2003 - Calcolo della funzione di partizione di Kostant per algebre di rango 2
Capparelli, Stefano - 01a Articolo in rivista
paper: BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B (Zanichelli Nicola Editore. Bologna) pp. 89-110 - issn: 0392-4041 - wos: WOS:000181111500005 (1) - scopus: 2-s2.0-3042719124 (1)

11573/68142 - 2003 - The Rogers-Ramanujan recursion and intertwining operators
Capparelli, Stefano; J., Lepowsky; A., Milas - 01a Articolo in rivista
paper: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (World Scientific Publishing Company:PO Box 128, Farrer Road, Singapore 912805 Singapore:011 65 6 4665775, EMAIL: journal@wspc.com.sg, INTERNET: http://www.wspc.com.sg, http://www.worldscinet.com, Fax: 011 65 6 4677667) pp. 947-966 - issn: 0219-1997 - wos: WOS:000188318000004 (50) - scopus: 2-s2.0-0442323029 (42)

11573/209905 - 2002 - Representations of level 5 for a twisted affine Lie algebra and combinatorial identities
Capparelli, Stefano - 04a Atto di comunicazione a congresso
conference: Functional Analysis VII, Dubrovnik, 2001 (Dubrovnik)
book: Functional Analysis VII - ()

11573/68138 - 1996 - A construction of the level 3 modules for the affine Lie algebra A22 and a new combinatorial identity of the Rogers-Ramanujan type
Capparelli, Stefano - 01a Articolo in rivista
paper: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (American Mathematical Society:PO Box 6248:Providence, RI 02940:(800)321-4267, (401)455-4000, EMAIL: cust-serv@ams.org, gma@math.ams.org, INTERNET: http://www.ams.org, Fax: (401)331-3842) pp. 481-501 - issn: 0002-9947 - wos: WOS:A1996TW99500002 (26) - scopus: 2-s2.0-21344472741 (29)

11573/68137 - 1995 - A combinatorial proof of a partition identity related to level 3 standard modules for an affine Lie algebra
Capparelli, Stefano - 01a Articolo in rivista
paper: COMMUNICATIONS IN ALGEBRA (-PHILADELPHIA, USA: TAYLOR & FRANCIS INC, -[New York] M. Dekker.) pp. 2959-2969 - issn: 0092-7872 - wos: WOS:A1995RC03600010 (10) - scopus: 2-s2.0-84972858901 (14)

11573/68139 - 1995 - Lie algebra representations, partition identities and q-trinomial coefficients
Capparelli, Stefano - 01a Articolo in rivista
paper: RENDICONTI DEL SEMINARIO MATEMATICO (Editrice universitaria Leyrotto e Bella: via Pigafetta 2/E, I 10129 Turin Italy:011 39 011 5097367, Fax: 011 39 011 504025) pp. 231-243 - issn: 0373-1243 - wos: (0) - scopus: (0)

11573/68136 - 1993 - On some representations of twisted affine Lie algebras and combinatorial identities
Capparelli, Stefano - 01a Articolo in rivista
paper: JOURNAL OF ALGEBRA (Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445) pp. 335-355 - issn: 0021-8693 - wos: WOS:A1993KR73200003 (46) - scopus: 2-s2.0-38249006498 (55)

11573/68089 - 1992 - ELEMENTS OF THE ANNIHILATING IDEAL OF A STANDARD MODULE
Capparelli, Stefano - 01a Articolo in rivista
paper: JOURNAL OF ALGEBRA (Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445) pp. 32-54 - issn: 0021-8693 - wos: WOS:A1992HC18500003 (7) - scopus: 2-s2.0-38249014367 (6)

11573/68134 - 1992 - Relations for generating functions associated to an infinite dimensional Lie algebra
Capparelli, Stefano - 01a Articolo in rivista
paper: BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B (Zanichelli Nicola Editore. Bologna) pp. 733-793 - issn: 0392-4041 - wos: WOS:A1992KJ23300003 (1) - scopus: (0)

11573/68135 - 1992 - Le equazioni di Knizhnik e Zamolodchikov e le algebre di operatori di vertice
Capparelli, Stefano - 01a Articolo in rivista
paper: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI (ESIA Books and Journals:Via Palestro 30, I 00185 Rome Italy:011 39 06 4441220, 011 39 6 4441221, EMAIL: esia@esia.it, Fax: 011 39 06 4747743) pp. 555-573 - issn: 1120-7183 - wos: (0) - scopus: (0)

11573/68090 - 1991 - On Vertex Operator Algebras
Capparelli, Stefano - 01a Articolo in rivista
paper: BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B (Zanichelli Nicola Editore. Bologna) pp. 787-800 - issn: 0392-4041 - wos: WOS:A1991HA39900004 (0) - scopus: 2-s2.0-0025789737 (28)

11573/68133 - 1991 - The Jordan canonical form in some theta-groups
Capparelli, Stefano - 01a Articolo in rivista
paper: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI (ESIA Books and Journals:Via Palestro 30, I 00185 Rome Italy:011 39 06 4441220, 011 39 6 4441221, EMAIL: esia@esia.it, Fax: 011 39 06 4747743) pp. 777-808 - issn: 1120-7183 - wos: (0) - scopus: (0)

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