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Employment (2)

Auburn University at Montgomery: Montgomery, AL, US

2016-08-15 to present | Associate Professor (Mathematics)
Employment
Source: Self-asserted source
Tianran Chen

Michigan State University: East Lansing, MI, US

2012-09-01 to present | Research instructor (Mathematics)
Employment
Source: Self-asserted source
Tianran Chen

Education and qualifications (1)

Michigan State University: East Lansing, MI, US

2006-01-10 to 2012-08-26 | Ph.D. in Applied Mathematics (Mathematics)
Education
Source: Self-asserted source
Tianran Chen

Funding (1)

AMPS: Collaborative Research: A Convex Geometry and Homotopy Approach for Power-Flow Equations

2019-08-15 to 2023-07-31 | Grant
Directorate for Mathematical & Physical Sciences (Alexandria, US)
URL: https://app.dimensions.ai/details/grant/grant.8539428
GRANT_NUMBER: 1923099
Source: Self-asserted source
Tianran Chen via DimensionsWizard

Works (12)

Volume of convex polytopes equals mixed volume of simplices

Archiv der Mathematik
2023-04 | Journal article
DOI: 10.1007/s00013-023-01836-3
Contributors: Tianran Chen
Source: check_circle
Crossref

Facets and facet subgraphs of symmetric edge polytopes

Discrete Applied Mathematics
2023-03 | Journal article
DOI: 10.1016/j.dam.2022.11.015
Contributors: Tianran Chen; Robert Davis; Evgeniia Korchevskaia
Source: check_circle
Crossref

Directed acyclic decomposition of Kuramoto equations

Chaos: An Interdisciplinary Journal of Nonlinear Science
2019-09 | Journal article
DOI: 10.1063/1.5097826
Contributors: Tianran Chen
Source: check_circle
Crossref

Unmixing the Mixed Volume Computation

Discrete & Computational Geometry
2019-07-20 | Journal article
DOI: 10.1007/s00454-019-00078-x
Contributors: Tianran Chen
Source: check_circle
Crossref

On the Network Topology Dependent Solution Count of the Algebraic Load Flow Equations

IEEE Transactions on Power Systems
2018-03 | Journal article
DOI: 10.1109/TPWRS.2017.2724030
Contributors: Tianran Chen; Dhagash Mehta
Source: check_circle
Crossref

Homotopy continuation method for solving systems of nonlinear and polynomial equations

Communications in Information and Systems
2015 | Journal article
DOI: 10.4310/cis.2015.v15.n2.a1
Contributors: Tianran Chen; Tien-Yien Li
Source: Self-asserted source
Tianran Chen via Crossref Metadata Search

Response to “Comment on ‘Exploring the potential energy landscape of the Thomson problem via Newton homotopies”’ [J. Chem. Phys. 143, 247101 (2015)]

The Journal of Chemical Physics
2015-12-28 | Journal article
DOI: 10.1063/1.4939011
Contributors: Dhagash Mehta; Tianran Chen; John W. R. Morgan; David J. Wales
Source: check_circle
Crossref

Exploring the potential energy landscape of the Thomson problem via Newton homotopies

J. Chem. Phys.
2015-05 | Journal article
DOI: 10.1063/1.4921163
Contributors: Dhagash Mehta; Tianran Chen; John W. R. Morgan; David J. Wales
Source: Self-asserted source
Tianran Chen via Crossref Metadata Search
grade
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Hom4PS-3: A Parallel Numerical Solver for Systems of Polynomial Equations Based on Polyhedral Homotopy Continuation Methods

Mathematical Software – ICMS 2014
2014 | Other
DOI: 10.1007/978-3-662-44199-2_30
Contributors: Tianran Chen; Tsung-Lin Lee; Tien-Yien Li
Source: Self-asserted source
Tianran Chen via Crossref Metadata Search

Communication: Newton homotopies for sampling stationary points of potential energy landscapes

J. Chem. Phys.
2014-09 | Journal article
DOI: 10.1063/1.4896657
Contributors: Dhagash Mehta; Tianran Chen; Jonathan D. Hauenstein; David J. Wales
Source: Self-asserted source
Tianran Chen via Crossref Metadata Search

MIXED VOLUME COMPUTATION IN PARALLEL

Taiwanese J. Math.
2014-01 | Journal article
DOI: 10.11650/tjm.18.2014.3276
Contributors: Tianran Chen; Tsung-Lin Lee; Tien-Yien Li
Source: Self-asserted source
Tianran Chen via Crossref Metadata Search

Spherical projective path tracking for homotopy continuation methods

Communications in Information and Systems
2012 | Journal article
DOI: 10.4310/cis.2012.v12.n3.a2
Contributors: Tianran Chen; Tien-Yien Li
Source: Self-asserted source
Tianran Chen via Crossref Metadata Search

Peer review (1 review for 1 publication/grant)

Review activity for Arnold mathematical journal. (1)
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