research overview
- I do research in both geometric and topological functional analysis, with special emphasis on orbifolds, groupoids, stratifications inertia spaces, noncommutative geometry, k-graphs and associated wavelets.
- Contact Info
Farsi, Parvati Carla Emilia Professor
Positions
- Professor, Mathematics
Research Areas
Research
keywords
- orbifolds, compact group actions, stratified spaces, differential structures, k-graphs
Publications
selected publications
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chapter
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Problems and Recent Methods in Operator; Theory.
Contemporary Mathematics.
2017
- Wavelets and Graph C*-Algebras. 35-86. 2017
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Problems and Recent Methods in Operator; Theory.
Contemporary Mathematics.
2017
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journal article
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Spectral triples and wavelets for higher-rank graphs.
Journal of Mathematical Analysis and Applications.
2020
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Representations of higher-rank graph C*-algebras associated to Lambda-semibranching function systems.
Journal of Mathematical Analysis and Applications.
766-798.
2018
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Purely Atomic Representations of Higher-Rank Graph C*-Algebras.
Integral Equations and Operator Theory.
2018
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Functional equations for orbifold wreath products.
Journal of Geometry and Physics.
37-51.
2017
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TWISTS OVER 'ETALE GROUPOIDS AND TWISTED VECTOR BUNDLES.
Proceedings of the American Mathematical Society.
3767-3779.
2016
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Separable representations, KMS states, and wavelets for higher-rank graphs.
Journal of Mathematical Analysis and Applications.
241-270.
2016
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STRATIFICATIONS OF INERTIA SPACES OF COMPACT LIE GROUP ACTIONS.
Journal of Singularities.
107-140.
2015
- Gamma-EXTENSIONS OF THE SPECTRUM OF AN ORBIFOLD. Transactions of the American Mathematical Society. 3881-3905. 2014
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On Orbifold Criteria for Symplectic Toric Quotients.
Symmetry, Integrability and Geometry: Methods and Applications.
2013
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Algebraic Structures Associated to Orbifold Wreath Products.
Journal of K-theory.
323-338.
2011
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Generalized orbifold Euler characteristics for general orbifolds and wreath products.
Algebraic and Geometric Topology.
523-551.
2011
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GENERALIZED TWISTED SECTORS OF ORBIFOLDS.
Pacific Journal of Mathematics.
49-74.
2010
- NONVANISHING VECTOR FIELDS ON ORBIFOLDS. Transactions of the American Mathematical Society. 509-535. 2010
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Orbifold index cobordism invariance.
Topology and its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology.
1770-1775.
2009
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Dirac operators on non-compact orbifolds.
Journal of Geometry and Physics.
197-206.
2009
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An orbifold relative index theorem.
Journal of Geometry and Physics.
1653-1668.
2007
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A non-commutative n-nomial formula.
Rocky Mountain Journal of Mathematics.
1527-1540.
2007
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Orbifold eta-invariants.
Indiana University Mathematics Journal.
501-521.
2007
- Discretized $C^ast$-algebras. Bollettino della Unione Matematica Italiana B. 697-709. 2006
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Soft C*-algebras.
Proceedings of the Edinburgh Mathematical Society.
59-65.
2002
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C*-algebras of dynamical systems of quasi rotations on tori.
Rocky Mountain Journal of Mathematics.
939-954.
2001
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Orbifold spectral theory.
Rocky Mountain Journal of Mathematics.
215-235.
2001
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Soft non-commutative Toral C*-algebras.
Journal of Functional Analysis.
35-49.
1997
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Fixed point subalgebras of rational higher-dimensional non-commutative Tori.
Proceedings of the American Mathematical Society.
209-217.
1997
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ABSTRACT CHARACTERIZATIONS OF FIXED-POINT SUBALGEBRAS OF THE ROTATION ALGEBRA.
Canadian Journal of Mathematics.
1211-1237.
1994
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C-ASTERISK-ALGEBRAS OF DYNAMICAL-SYSTEMS ON THE NONCOMMUTATIVE TORUS.
Mathematica Scandinavica: ediderunt societates mathematicae Daniae Fenniae Islandiae Norvegiae Sveci.
101-110.
1994
- C-ASTERISK-ALGEBRAS OF DYNAMICAL-SYSTEMS ON THE NONCOMMUTATIVE TORUS. Mathematica Scandinavica: ediderunt societates mathematicae Daniae Fenniae Islandiae Norvegiae Sveci. 101-110. 1994
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ELLIPTIC ALGEBRAS.
Journal of Functional Analysis.
1-21.
1993
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TOPOLOGICAL ORBIFOLDS.
Proceedings of the American Mathematical Society.
761-764.
1993
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SYMMETRIZED NONCOMMUTATIVE TORI.
Mathematische Annalen.
739-741.
1993
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Topological orbifolds.
Proceedings of the American Mathematical Society.
761-761.
1993
- Cubic algebras. Journal of Operator Theory. 243-266. 1993
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TRIVIAL FIXED-POINT SUBALGEBRAS OF THE ROTATION ALGEBRA.
Mathematica Scandinavica: ediderunt societates mathematicae Daniae Fenniae Islandiae Norvegiae Sveci.
298-302.
1993
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QUARTIC ALGEBRAS.
Canadian Journal of Mathematics.
1167-1191.
1992
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K-THEORETICAL INDEX THEOREMS FOR GOOD ORBIFOLDS.
Proceedings of the American Mathematical Society.
769-773.
1992
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K-THEORETICAL INDEX THEOREMS FOR ORBIFOLDS.
Quarterly Journal of Mathematics.
183-200.
1992
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A NOTE ON K-THEORETICAL INDEX THEOREMS FOR ORBIFOLDS.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
429-431.
1992
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$K$-theoretical index theorems for good orbifolds.
Proceedings of the American Mathematical Society.
769-769.
1992
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EQUIVARIANT SPIN BORDISM IN LOW DIMENSIONS.
Topology and its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology.
167-180.
1992
- Corrigendum: “Fixed point subalgebras of the rotation algebra”. Mathematical Reports of the Academy of Science. 234-234. 1991
- Fixed point subalgebras of the rotation algebra. Mathematical Reports of the Academy of Science. 75-80. 1991
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Spectral triples and wavelets for higher-rank graphs.
Journal of Mathematical Analysis and Applications.
2020
Teaching
courses taught
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MATH 2400 - Calculus 3
Primary Instructor - Fall 2019
Continuation of MATH 2300. Topics include vectors, three-dimensional analytic geometry, partial differentiation and multiple integrals, and vector analysis. Department enforced prerequisite: MATH 2300 or APPM 1360 (minimum grade C-). Degree credit not granted for this course and APPM 2350. -
MATH 3001 - Analysis 1
Primary Instructor - Spring 2018 / Spring 2019
Provides a rigorous treatment of the basic results from elementary Calculus. Topics include the topology of the real line, sequences of numbers, continuous functions, differentiable functions and the Riemann integral. -
MATH 6210 - Introduction to Topology 1
Primary Instructor - Fall 2018
Introduces elements of point-set topology and algebraic topology, including the fundamental group and elements of homology. Department enforced prerequisites: MATH 2130 and MATH 3140 and MATH 4001. Instructor consent required for undergraduates.
Background
education and training
- Ph.D., University of Maryland College Park Campus 1989
- M.A., University of Florence (Italy) 1983
International Activities
global connections related to teaching and scholarly work (in recent years)
- Australia Country
- Australia and New Zealand Continent
- Canada Country
- Europe Continent
- Germany Country
- North America Continent
- North Korea Country
- Norway Country
- Poland Country
- Portugal Country
- United Kingdom Country
- western Europe Transnational Region