Publications

Preprints

Automating Idealness Proofs for Binary Programs with Application to Rectangle Packing (with J. Fravel) arxiv

Exploring Pure Nash Equilibria in Integer Programming Games for Aquatic Invasive Species Prevention (with H. Lee, W. Cai, and I. Esra B ̈uy ̈uktahtakın) arxiv

Complexity of Integer Programming in Reverse Convex Sets via Boundary Hyperplane Covers (with A. G ̈oß) arxiv

Dual Bounds for Redistricting Problems with Non-Convex Objectives (with J. Fravel, N. Goedert, L. Travis, M. Pierson) arxiv

Journal and refereed conference articles

[2024]

Continuous Equality Knapsack with Probit-Style Objectives (with J. Fravel and L. Travis). arxiv Journal of Optimization Theory and Applications (JOTA)

Job Shop Scheduling with Integer Programming, Shifting Bottleneck, and Decision Diagrams: A Computational Study (with B. King) FedCSIS 2024 arxiv

Black Representation and District Compactness in Southern Congressional Districts (with J. Fravel, N. Goedert, L. Travis, M. Pierson) ssrn Politics, Groups, and Identities

Asymmetries in Optimized Partisan Gerrymandering , (with J. Fravel, N. Goedert, L. Travis, M. Pierson) pdf appendices Wiley

Enhancements of Discretization Approaches for Non-Convex Mixed-Integer Quadratically Constraint Quadratic Programming Part II (with B. Beach, L. Hager, A. Bärmann and R. Burlacu) arxiv Computational Optimization and Applications

[2023]

Enhancements of Discretization Approaches for Non-Convex Mixed-Integer Quadratically Constraint Quadratic Programming Part I (with B. Beach, L. Hager, A. Bärmann and R. Burlacu) arxiv Computational Optimization and Applications

Force-Controlled Pose Optimization and Trajectory Planning for Chained Stewart Platforms (with B.Beach, W. Chapin, and E. Komendera). OptimizationOnline Frontiers in Mechanical Engineering, section Digital Manufacturing

[2022]

Compact mixed-integer programming relaxations in quadratic optimization (with B. Beach and J. Huchette). Journal of Global Optimization. arxiv.org Springer talk

Complexity, Exactness, and Rationality in Polynomial Optimization (with D. Bienstock and A. Del Pia). Mathematical Programming Series B. arxiv.org Springer talk

Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem. VII. Inverse semigroup theory, closures, decomposition of perturbations. (with M. Köppe and Y. Zhou). Open Journal of Mathematical Optimization arxiv.org OJMO Slides

An Autonomous Task Assignment Paradigm for Autonomous Robotic In-Space Assembly. Frontiers in Robotics and AI. (with J. Moser, J. Hoffman, and E. Komendera). Frontiers

[2021]

Complexity, Exactness and Rationality in Polynomial Optimization. Integer Programming and Combinatorial Optimization (IPCO) 2021. (with D. Bienstock and A. Del Pia). Springer

[2020]

An approximate method for the optimization of long-Horizon tank blending and scheduling operations. Computers and Chemical Engineering, 141. (with L. Baptiste, B. Beach, and K. Ellis). ScienceDirect

Recent Developments in Robust and Precise Autonomous Assembly Methods for Surface and Orbital Structures, ASCEND 2020 . (with J. Moser, M. Anderson, H. Everson, A. Quartaro, W. Chapin, B. Beach, J. Hoffman, and E. Komendera) pdf Aerospace Resource Central

[2019]

On Perturbation Spaces of Minimal Valid Functions: Inverse Semigroup Theory and Equivariant Decomposition Theorem, IPCO 2019 . (with M. Köppe and Y. Zhou) Springer

[2018]

Binary extended formulations of polyhedral mixed-integer sets. Mathematical Programming 170 (1), 207-236. (with S. Dash and O. Günlük). Springer

Sublinear Bounds for a Quantitative Doignon-Bell-Scarf Theorem, SIAM J. Discrete Math., 32(1), 352–371. (with S. R. Chestnut and R. Zenklusen) arxiv.org SIAM Slides

[2017]

Minimal cut-generating functions are nearly extreme, extended version, Mathematical Programming (with A. Basu and M. Molinaro) arxiv.org Springer

Mixed Integer Reformulations of Integer Programs and the Affine TU-dimension of a Matrix, Mathematical Programming (with J. Bader, R. Weismantel, and R. Zenklusen) arxiv.org Springer

Extension Complexity Lower Bounds for Mixed-Integer Extended Formulations, Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2017) (with R. Weismantel and R. Zenklusen) arxiv.org

[2016]

Equivariant Perturbations for Gomory and Johnson's Infinite Group Problem. III. Foundations for the k-Dimensional Case with Applications to k=2, Mathematical Programming A (with A. Basu, M. Köppe) arxiv.org

Minimal cut-generating functions are nearly extreme, IPCO 2016 (with A. Basu and M. Molinaro) pdf Springer

An FPTAS for Minimizing Indefinite Quadratic Forms Over Integers in Polyhedra, Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2016) (with K. Zemmer, R. Weismantel) arxiv.org SIAM

[2015]

Note on the Complexity of the Mixed-Integer Hull of a Polyhedron, Operations Research Letters (with T. Oertel, R. Weismantel) arxiv.org ScienceDirect

Light on the Infinite Group Problem, 4OR (with A. Basu, M. Köppe) arxiv.org Springer: part 1, part 2

Minimizing Cubic and Homogeneous Polynomials over Integers in the Plane, Mathematics of Operations Research (with A. Del Pia, R. Weismantel, K. Zemmer) arxiv.org MathOR slides

[2014]

Equivariant Perturbations for Gomory and Johnson's Infinite Group Problem, Mathematics of Operations Research (with A.Basu, M. Köppe) arxiv.org MathOR

[2013]

The Triangle Closure is a Polyhedron, Mathematical Programming A (with A. Basu, M. Köppe) arxiv.org Springer

Equivariant Perturbations for Gomory and Johnson's Infinite Group Problem. II. The Unimodular Two Dimensional Case, Proceedings of IPCO 2013 (with A. Basu, M. Köppe) arxiv.org Springer

A (k+1)-Slope Theorem for the k-Dimensional Infinite Group Relaxation, SIAM Journal on Optimization (with A. Basu, M. Köppe, M. Molinaro) arxiv.org SIAM

A new Lenstra-type Algorithm for Quasiconvex Polynomial Integer Minimization with complexity 2^O(n log n), Discrete Optimization (with M. Köppe) arxiv.org, Elsevier ScienceDirect

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