Faculty

Institution

Unit

Venue

Dan Burghelea

Faculty Emeritus

Ohio State University

Affiliations

College of Arts and Sciences

Mathematics

Dan Burghelea is currently serving as a College Of Arts And Sciences Faculty Emeritus at Ohio State University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Dan Burghelea

Ohio State University

Faculty Emeritus

You can click a keyword to filter the displayed items

applied mathematics topology mathematics geometric topology mathematical analysis cyclic homology geometry and topology spectral theory functional analysis graph theory operator theory representation theory differential geometry modern algebra analytic number theory mathematical sciences complex geometry witten deformation spectral geometry relative torsion graph representations communication philosophy topological invariants topological properties ring theory applied algebra topological graph theory topological representation finite fields topological persistence analytic torsion euler structures laplace transform critical set continuous function betti numbers angle-valued maps group rings function spaces localization nonlinear analysis transition metal chemistry discrete geometry discrete differential geometry theoretical mathematics commutative algebra abstract algebra computational topology theoretical analysis foundational theory geometric representations nonlinear functional analysis domain analysis algebraic coding theory knot theory mathematical structures geometry of numbers structural composition intermediate representation riemannian manifold algebraic k-theory meyer-vietoris type formula differential topology topological data analysis algebraic topology

Notable Scholarly Works

Notable Federal Grants

Collaborators

Erratum to “the Cyclic Homology of the Group Rings”. Commentarii Mathematici Helvetici (2023)

Dan Burghelea

ring theoryapplied mathematicscomplex geometrygroup ringsintermediate representationgroup theorystructural compositionhomological algebraalgebraic topologygeometric topologyapplied algebramathematicstransition metal chemistryalgebracyclic homologyalgebraic geometry

Correction to: Alternative to Morse–Novikov Theory for a Closed 1-Form. I. European Journal of Mathematics (2022)

Dan Burghelea

algebraic number theorygeometry of numbersapplied mathematicspure mathematicsmorse-novikov theorymathematical analysisdiscrete mathematicsanalytic number theoryfinite fieldsnumber theorymathematicsmathematical structuresspectral theoryknot theorymathematical sciences

Refinement of Novikov–Betti Numbers and of Novikov Homology Provided by an Angle Valued Map. Journal of Mathematical Sciences (2020)

D. Burghelea

applied mathematicsgeometric analysiscomplex geometrycomplex analysisnovikov-betti numbershomological algebraalgebraic topologygeometric topologynovikov homologymathematicsalgebraic geometrymathematical sciences

Witten Deformation and the Spectral Package of a Riemannian Manifold. arXiv (Cornell University) (2020)

Dan Burghelea

riemannian manifoldapplied mathematicswitten deformationspectral packagedifferential geometryspectral theory

Comparison Between"Parametrized Homology via Zigzag Persistence" and"Refined Homology in the Presence of a Real-Valued Continuous Function". arXiv (Cornell University) (2019)

Dan Burghelea

real-valued continuous functionrefined homologyhomological algebraparametrized homologyzigzag persistence

A Refinement of Betti Numbers and Homology in the Presence of a Continuous Function, II: The Case of an Angle-Valued Map. Algebraic & Geometric Topology (2018)

Dan Burghelea

topologyangle-valued mapbetti numbersalgebraic topologygeometric topologycontinuous function

Barcodes for Closed One Form - an Alternative to Novikov Theory. arXiv (Cornell University) (2018)

Dan Burghelea

closed onealgebraic coding theoryapplied mathematics

A Refinement of Betti Numbers and Homology in the Presence of a Continuous Function, I. Algebraic & Geometric Topology (2017)

Dan Burghelea

topologybetti numbersalgebraic topologygeometric topologycontinuous functiongeometry and topology

New Topological Invariants for Real- and Angle-Valued Maps: An Alternative to Morse-Novikov Theory. (2017)

Dan Burghelea

topological propertiestopological invariantsmorse-novikov theorytopologyangle-valued mapsgeometric topologygeometry and topology

Topology of Angle Valued Maps, Bar Codes and Jordan Blocks. Journal of Applied and Computational Topology (2017)

Dan BurgheleaStefan Haller

bar codesapplied mathematicscomputational topologytopologyjordan blocksgeometric topology

1
2
3
4
5
6
10 / page

Dan Burghelea

Faculty Emeritus

Ohio State University

Affiliations

College of Arts and Sciences

Mathematics

Dan Burghelea is currently serving as a College Of Arts And Sciences Faculty Emeritus at Ohio State University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Dan Burghelea

Ohio State University

Faculty Emeritus

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Erratum to “the Cyclic Homology of the Group Rings”. Commentarii Mathematici Helvetici (2023)

Dan Burghelea

Correction to: Alternative to Morse–Novikov Theory for a Closed 1-Form. I. European Journal of Mathematics (2022)

Dan Burghelea

Refinement of Novikov–Betti Numbers and of Novikov Homology Provided by an Angle Valued Map. Journal of Mathematical Sciences (2020)

D. Burghelea

Witten Deformation and the Spectral Package of a Riemannian Manifold. arXiv (Cornell University) (2020)

Dan Burghelea

riemannian manifoldapplied mathematicswitten deformationspectral packagedifferential geometryspectral theory

Comparison Between"Parametrized Homology via Zigzag Persistence" and"Refined Homology in the Presence of a Real-Valued Continuous Function". arXiv (Cornell University) (2019)

Dan Burghelea

real-valued continuous functionrefined homologyhomological algebraparametrized homologyzigzag persistence

A Refinement of Betti Numbers and Homology in the Presence of a Continuous Function, II: The Case of an Angle-Valued Map. Algebraic & Geometric Topology (2018)

Dan Burghelea

topologyangle-valued mapbetti numbersalgebraic topologygeometric topologycontinuous function

Barcodes for Closed One Form - an Alternative to Novikov Theory. arXiv (Cornell University) (2018)

Dan Burghelea

closed onealgebraic coding theoryapplied mathematics

A Refinement of Betti Numbers and Homology in the Presence of a Continuous Function, I. Algebraic & Geometric Topology (2017)

Dan Burghelea

topologybetti numbersalgebraic topologygeometric topologycontinuous functiongeometry and topology

New Topological Invariants for Real- and Angle-Valued Maps: An Alternative to Morse-Novikov Theory. (2017)

Dan Burghelea

topological propertiestopological invariantsmorse-novikov theorytopologyangle-valued mapsgeometric topologygeometry and topology

Topology of Angle Valued Maps, Bar Codes and Jordan Blocks. Journal of Applied and Computational Topology (2017)

Dan BurgheleaStefan Haller

bar codesapplied mathematicscomputational topologytopologyjordan blocksgeometric topology

1
2
3
4
5
6
10 / page

Similar Faculty Members

Aravind Asok

Institution

University of Southern California

algebra

mathematical linguistics

Shulim Kaliman

Institution

University of Miami

algebraic structure

algebraic geometry

Alexander Furman

Institution

University of Illinois Chicago

deterministic dynamical system

general system

Pierre Albin

Institution

University of Illinois Urbana-Champaign

spectral theory

applied mathematics

Norman Johnson

Institution

University of Iowa

algebra

finite group theory

Hari Bercovici

Institution

Indiana University Bloomington

applied mathematics

mathematics

Michael Greenblatt

Institution

University of Illinois Chicago

function space

spectral theory

Aimo Hinkkanen

Institution

University of Illinois Urbana-Champaign

complex analysis

topology

Fengbo Hang

Institution

New York University

applied mathematics

mathematics

Yuri Berest

Institution

Cornell University

topology

low-dimensional topology

Similar Faculty Members

Aravind Asok

Institution

University of Southern California

algebra

mathematical linguistics

Shulim Kaliman

Institution

University of Miami

algebraic structure

algebraic geometry

Alexander Furman

Institution

University of Illinois Chicago

deterministic dynamical system

general system

Pierre Albin

Institution

University of Illinois Urbana-Champaign

spectral theory

applied mathematics

Norman Johnson

Institution

University of Iowa

algebra

finite group theory

Hari Bercovici

Institution

Indiana University Bloomington

applied mathematics

mathematics

Michael Greenblatt

Institution

University of Illinois Chicago

function space

spectral theory

Aimo Hinkkanen

Institution

University of Illinois Urbana-Champaign

complex analysis

topology

Fengbo Hang

Institution

New York University

applied mathematics

mathematics

Yuri Berest

Institution

Cornell University

topology

low-dimensional topology