Manuel Bogoya
Projects
4. M. Bogoya and S.-E. Ekström.
A theoretical-based numerical algorithm for the spectrum of structured matrices.
Work in progress 50%.
3. M. Bogoya and S.M. Grudsky.
Asymptotic eigenvalue description for a family of Hermitian Toeplitz matrices with a generating function having a power singularity.
Work in progress 70%.
2. M. Bogoya, J. Cifuentes, L. Estupiñan, and A. Varela.
Elevation and climate conditions related to affectation syndrome of two species of frailejon (Asteraceae) in Colombia.
Work in progress 80%.
1. M. Bogoya and S.M. Grudsky.
The eigenvalues of non-Hermitian banded Toeplitz matrices approaching simple points of the limiting set.
Submitted on February 25th 2025 to Computational Mathematics and Mathematical Physics (Comp.Math.Phys.)
Papers
34. M. Bogoya, J. Gasca, and S.M. Grudsky.
Eigenvalues for a class of non-Hermitian tetradiagonal Toeplitz matrices.
Journal of Spectral Theory (J. Spectr. Theory) 15[1] (2025), 441--477.
33. M. Bogoya, A. Böttcher, and S.M. Grudsky.
Eigenvalues of Toeplitz matrices emerging from finite differences for certain ordinary differential operators.
Linear Algebra and its Applications (Linear Algebra Appl.) 706 (2025), 24--54.
32. M. Bogoya, S.M. Grudsky, and S. Serra-Capizzano.
Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols.
Linear Algebra and its Applications (Linear Algebra Appl.) 697 (2024), 487--527.
31. M. Bogoya, S.M. Grudsky, and S. Serra-Capizzano.
Fast non-Hermitian Toeplitz eigenvalue computations, joining matrix-less algorithms and FDE approximation matrices.
SIAM Journal on Matrix Analysis with Applications (SIAM J. Matrix Analysis Appl. or SIMAX) 45[1] (2024), 284--305.
30. M. Bogoya, S.E. Ekström, S. Serra-Capizzano, and P. Vassalos.
Matrix-less methods for the spectral approximation of large non-Hermitian Toeplitz matrices: a concise theoretical analysis and a numerical study.
Numerical Linear Algebra with Applications (Numer. Linear Algebra Appl.) 31[4] (2024), e2545.
29. M. Bogoya, S. Serra-Capizzano, and P. Vassalos.
Fast Toeplitz eigenvalue computations joining interpolation-extrapolation matrix-less algorithms and simple-loop theory: The preconditioned setting.
Applied Mathematics and Computation (Appl. Math. Compt.) 466 (2024), 128483.
28. M. Bogoya, J. Gasca, and S.M. Grudsky.
Eigenvalue asymptotic expansion for non-Hermitian tetradiagonal Toeplitz matrices with real spectrum.
Journal of Mathematical Analysis and Applications (J. Math. Anal. Appl.) 531[1,2] (2024), 127816.
DOI:10.1016/j.jmaa.2023.127816
27. M. Bogoya, A. Böttcher, and S.M. Grudsky.
Asymptotic eigenvalue expansions for Toeplitz matrices with certain Fisher–Hartwig symbols.
Journal of Mathematical Sciences (J. Math. Sci.) 271[2] (2023), 176--196.
DOI:10.1007/s10958-023-06362-9
26. M. Bogoya and S.M. Grudsky.
Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity.
Numerical Linear Algebra with Applications (Numer. Linear Algebra Appl.), 30[5] (2023), e2496.
25. M. Bogoya, S.M. Grudsky, M. Mazza, and S. Serra-Capizzano.
On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems.
Linear & Multilinear Algebra (Linear Multilinear A.) 71[15] (2023), 2462--2473.
DOI:10.1080/03081087.2022.2105784
24. M. Bogoya, S.E. Ekström, and S. Serra-Capizzano.
Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory.
Numerical Algorithms (Numer. Algor.), 91[4] (2022), 1653--1676.
DOI:10.1007/s11075-022-01318-7
23. M. Bogoya, S.M. Grudsky, S. Serra-Capizzano, C. Tablino-Possio.
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems.
BIT Numerical Mathematics (BIT), 62[4] (2022), 1417--1431.
DOI:10.1007/s10543-022-00916-0
22. M. Bogoya, S. Serra-Capizzano, and K. Trotti.
Upper Hessenberg and Toeplitz Bohemian matrix-sequences: A note on their asymptotical eigenvalues and singular values.
Electronic Transactions on Numerical Analysis (Electron. T. Numer. Ana.), 55 (2022), 76–91.
21. L.D. Gómez, L.C. Jiménez, A. Pérez, R.A. Poutou, A. Pedroza, J. Salcedo, A. Vargas, and M. Bogoya.
LDPE transformation by exposure to sequential low-pressure plasma and TiO2/UV photocatalysis.
Molecules, 26[9] (2021), 2513.
20. A. Varela, A. Sandoval, M. Muñoz, A. Gómez, and M. Bogoya.
Evaluation of green roof structures and substrates for Lactuca sativa L. in tropical conditions.
Urban Forestry & Urban Greening (Urban For. Urban Gree.) 60 (2021), 127063.
DOI:10.1016/j.ufug.2021.127063
19. L. Uribe, M. Bogoya, A. Vargas, A. Lara, G. Rudolph, and O. Schütze.
A set based Newton method for the averaged Hausdorff distance for multi-objective reference set problems.
Mathematics, 8[10] (2020), 1822.
18. M. Bogoya, A. Vargas, and O. Schütze.
The averaged Hausdorff distances in multi-objective optimization: A review.
Mathematics, 7[10] (2019), 894.
17. M. Bogoya, S.M. Grudsky, and I.S. Malysheva.
Extreme individual eigenvalues for a class of large Hessenberg Toeplitz matrices.
Operator Theory: Advances and Applications (Oper. Theory: Adv. Appl.), 271 (2018), 119–143.
DOI:10.1007/978-3-030-04269-1_4
16. M. Bogoya, A. Vargas, O. Cuate, and O. Schütze.
A (p,q)-averaged Hausdorff distance for arbitrary measurable sets.
Mathematical & Computational Applications (Math. Comput. Appl.), 23[3] (2018), 51.
15. L.D. Gómez, D.A. Moreno, R.A. Poutou, J.C. Salcedo, A.M. Pedroza, A. Vargas, and M. Bogoya.
Biodeterioration of plasma pretreated LDPE sheets by Pleurotus ostreatus.
Plos One, 13[9] (2018), e0203786.
DOI:10.1371/journal.pone.0203786
14. M. Bogoya and A. Vargas.
A generalization of the averaged Hausdorff distance.
Computación y Sistemas (Comput. y Sist.), 22[2] (2018), 331–345.
DOI:10.15446/10.13053/CyS-22-2-2950
13. M. Bogoya, J.D. Bogoya, and A.J. Peñuela.
Value-added in higher education: ordinary least squares and quantile regression for a Colombian case.
Ingeniería & Investigación (Ing. Invest.), 37[3] (2017), 30–36.
DOI:10.15446/ing.investig.v37n3.61729
12. A. Böttcher, M. Bogoya, S.M. Grudsky, and E.A. Maximenko.
Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices.
Sbornik Mathematics (Sb. Math.), 208[11] (2017), 1578–1601.
11. M. Bogoya, S.M. Grudsky, and E.A. Maximenko.
Eigenvalues of Hermitian Toeplitz matrices generated by simple-loop symbols with relaxed smoothness.
Operator Theory: Advances and Applications (Oper. Theory: Adv. Appl.), 259 (2017), 179–212.
DOI:10.1007/978-3-319-49182-0_11
10. M. Bogoya, A. Böttcher, and E.A. Maximenko.
From convergence in distribution to uniform convergence.
Boletín de la Sociedad Matemática Mexicana (Bol. Soc. Mat. Mex.), 22[2] (2016), 695–710.
9. M. Bogoya, A. Böttcher, S.M. Grudsky, and E.A. Maximenko.
Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols.
Linear Algebra and its Applications (Linear Algebra Appl.), 493 (2016), 606–637.
8. M. Bogoya, A. Böttcher, S.M. Grudsky, and E.A. Maximenko.
Maximum norm versions of the Szegő and Avram–Parter theorems for Toeplitz matrices.
Journal of Approximation Theory (J. Approx. Theory), 196 (2015), 79–100.
7. M. Bogoya, A. Böttcher, S.M. Grudsky, and E.A. Maximenko.
Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols.
Journal of Mathematical Analysis and Applications (J. Math. Anal. Appl.), 422[2] (2015), 1308–1334.
DOI:10.1016/j.jmaa.2014.09.057
6. M. Bogoya, J.D. Bogoya.
An academic value-added mathematical model for higher education in Colombia.
Ingeniería & Investigación (Ing. Invest.), 33[2] (2013), 63–68.
5. M. Bogoya, A. Böttcher, and A. Poznyak.
Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries.
Journal of Spectral Theory (J. Spectr. Theory), 2[3] (2012), 267–292.
4. M. Bogoya, A. Böttcher, S.M. Grudsky, and E.A. Maksimenko.
Eigenvectors of Hessenberg Toeplitz matrices and a problem by Dai, Geary, and Kadanoff.
Linear Algebra and its Applications (Linear Algebra Appl.), 436[9] (2012), 3480–3492.
3. M. Bogoya, A. Böttcher, and S.M. Grudsky.
Asymptotics of individual eigenvalues of a class of large Hessenberg Toeplitz matrices.
Operator Theory: Advances and Applications (Oper. Theory: Adv. Appl.), 220 (2012), 77–96.
DOI:10.1007/978-3-0348-0346-5_5
2. M. Bogoya, A. Böttcher, S.M. Grudsky, and E.A. Maksimenko.
Eigenvalues of Hessenberg Toeplitz matrices generated by symbols with several singularities.
Communications in Mathematical Analysis (Commun. Math. Anal.), 3 (2010), 23–41.
http://www.math-res-pub.org/cma/proceedings/3
1. M. Bogoya and C. Montenegro.
A weak form of choice for the standard binary tree.
Revista Colombiana de Matemáticas (Rev. Colomb. de Mat.), 40[2] (2006), 111–117.
http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262006000200005
Research summary
The figure shows the number of published papers per year (left) and per research area (right).
My research areas are:
Toeplitz operators and matrices (TOM)
Data analysis (DAn)
Multi-objective optimization (MOO)
Logic (Log)
Main colaborators
Sergei Grudsky (18)
Albrecht Böttcher (11)
Egor Maximenko (8)
Andrés Vargas (6)
Sven-Erik Ekström (2)
Juanita Gasca (2)
My Erdös number is 3 by the chain:
A. Böttcher - P. Diaconis - P. Erdös
Education
Ph.D. Mathematics
Sep. 2008 - Dec. 2010
Department of Mathematics, CINVESTAV, México D.F.-MéxicoM.Sc. Mathematics
Sep. 2006 - Jul. 2008
Department of Mathematics, CINVESTAV, México D.F.-MéxicoB.S. Mathematics
Jan. 1995 - Dec. 2001
Department of Mathematics, Uniandes, Bogotá-ColombiaB.S. Mechanical Engineer
Jan. 1995 - Jun. 2001
Department of Mechanical Engineering, Uniandes, Bogotá-Colombia
Teaching
Undergraduate Teaching
1999–2006. Universidad de los Andes (15 courses)
Geometry (2006-I)
Probability and Statistics (2006-I)
Discrete Mathematics (2005-II)
Pre-calculus (2002-I)
Differential Calculus (2002-I, 2002-II, 2003-I, 2005-I) 6. Integral Calculus (2003-II, 2006-II)
Multi-variable Calculus (2005-II, 2006-I, 2006-II)
Linear Algebra (1999-II, 2002-I)
2011–2020. Pontificia Universidad Javeriana (45 courses)
Mathematical Fundamentals I (2011-I)
Mathematical Fundamentals II (2011-II, 2016-I, 2016-II)
Differential Calculus (2012-I, 2015-I, 2016-I, 2018-II)
Integral Calculus (2011-I, 2011-II, 2012-II, 2013-II, 2014-I, 2015-II)
Multi-variable Calculus (2013-I, 2013-II, 2014-I, 2016-II, 2017-I, 2017-II)
Linear Algebra (2012-II)
Abstract Algebra (2018-I)
Mathematical Analysis I (2013-I, 2014-I, 2014-II)
Mathematical Analysis II (2011-II, 2012-I, 2013-II, 2017-II, 2018-I, 2018-II)
Measure Theory (2015-I, 2015-II, 2020-I, 2020-II)
Topology (2016-I, 2016-II, 2017-I, 2017-II)
Asymptotic Analysis (2017-I, 2018-I)
Complex Analysis (2018-II, 2019-I, 2019-II)
Functional Analysis (2019-I)
2022–today. Universidad del Valle (12 courses)
Mathematical Analysis II (2022-I)
Functional Analysis for Physicists (2022-I)
Linear Algebra (2022-II, 2023-I)
Differential Calculus (2025-I)
Integral Calculus (2024-II)
Multi-variable Calculus (2023-I, 2023-II (2), 2024-I)
Measure Theory (2024-I, 2025-I)
Graduate Teaching
2019–2020. Pontificia Universidad Javeriana (3 courses)
Complex Analysis (2019-II)
Abstract Algebra (2020-I)
Functional Analysis (2020-II)
2022–today. Universidad del Valle (1 course)
Complex Analysis (2024-II)
Work Experience
Jul. 2023 - Today
Universidad del Valle, Department of Mathematics, Cali-Colombia
Associate professorMar. 2022 - Jul. 2023
Universidad del Valle, Department of Mathematics, Cali-Colombia
Assistant professorAug. 2021 - Sep. 2022
Università degli Studi dell’Insubria, Department of Science and High Technology, Como-Italy
ResearcherJan. 2016 - Dec. 2020
Pontificia Universidad Javeriana, Department of mathematics, Bogotá-Colombia
Associated professorJan. 2011 - Dec. 2015
Pontificia Universidad Javeriana, Department of mathematics, Bogotá-Colombia
Assistant professorJan. 1999 - Jun. 1999
ECOPETROL S.A., Barrancabermeja-Colombia
Dating and performing controls and statics for hydro pumpsAug. 1999 - Jul. 2006
Universidad de los Andes, Department of mathematics, Bogotá-Colombia
Lecturer