2023
Biswas, I., Brambila-Paz, L., & Newstead, P. E. (2023). Stability and deformations of generalised Picard sheaves. MANUSCRIPTA MATHEMATICA. doi:10.1007/s00229-023-01468-5DOI: 10.1007/s00229-023-01468-5
2022
Newstead, P. E. (n.d.). Higher rank Brill—Noether theory and coherent systems open questions. Proyecciones (Antofagasta), 41(2), e5276. doi:10.22199/issn.0717-6279-5276DOI: 10.22199/issn.0717-6279-5276
2021
Coherent Systems on the Projective Line (Journal article)
Newstead, P., & Teixidor i Bigas, M. (2021). Coherent Systems on the Projective Line. The Quarterly Journal of Mathematics, 72(1-2), 115-136. doi:10.1093/qmathj/haaa024DOI: 10.1093/qmathj/haaa024
2020
Hitching, G. H., Hoff, M., & Newstead, P. E. (2020). Nonemptiness and smoothness of twisted Brill-Noether loci. Annali di Matematica Pura ed Applicata. doi:10.1007/s10231-020-01009-xDOI: 10.1007/s10231-020-01009-x
2018
SESHADRI CONSTANTS AND GRASSMANN BUNDLES OVER CURVES (Journal article)
Biswas, I., Hanumanthu, K., Nagaraj, D. S., & Newstead, P. E. (2020). SESHADRI CONSTANTS AND GRASSMANN BUNDLES OVER CURVES. ANNALES DE L INSTITUT FOURIER, 70(4), 1477-1496. Retrieved from https://www.webofscience.com/
Some examples of rank-2 Brill-Noether loci (Journal article)
Newstead, P. E. (2018). Some examples of rank-2 Brill-Noether loci. REVISTA MATEMATICA COMPLUTENSE, 31(1), 201-215. doi:10.1007/s13163-017-0241-6DOI: 10.1007/s13163-017-0241-6
2017
Generated coherent systems and a conjecture of D. C. Butler (Journal article)
Brambila-Paz, L., Mata-Gutierrez, O., Newstead, P. E., & Ortega, A. (2019). Generated coherent systems and a conjecture of D. C. Butler. INTERNATIONAL JOURNAL OF MATHEMATICS, 30(5). doi:10.1142/S0129167X19500241DOI: 10.1142/S0129167X19500241
Higher rank BN-theory for curves of genus 6 (Journal article)
Lange, H., & Newstead, P. E. (2018). Higher rank BN-theory for curves of genus 6. INTERNATIONAL JOURNAL OF MATHEMATICS, 29(2). doi:10.1142/S0129167X18500143DOI: 10.1142/S0129167X18500143
2016
VBAC: A Brief History (Conference Paper)
Newstead, P. (2016). VBAC: A Brief History. In INTERNATIONAL JOURNAL OF MATHEMATICS Vol. 27. doi:10.1142/S0129167X1602002XDOI: 10.1142/S0129167X1602002X
HIGGS BUNDLES OVER ELLIPTIC CURVES FOR REAL GROUPS (Journal article)
Franco, E., Garcia-Prada, O., & Newstead, P. E. (2019). HIGGS BUNDLES OVER ELLIPTIC CURVES FOR REAL GROUPS. QUARTERLY JOURNAL OF MATHEMATICS, 70(1), 105-146. doi:10.1093/qmath/hay037DOI: 10.1093/qmath/hay037
2015
Higher rank BN-theory for curves of genus 5 (Journal article)
Lange, H., & Newstead, P. E. (2016). Higher rank BN-theory for curves of genus 5. REVISTA MATEMATICA COMPLUTENSE, 29(3), 691-717. doi:10.1007/s13163-016-0203-4DOI: 10.1007/s13163-016-0203-4
Lange, H., & Newstead, P. E. (2017). Higher rank BN-theory for curves of genus 4. COMMUNICATIONS IN ALGEBRA, 45(9), 3948-3966. doi:10.1080/00927872.2016.1251938DOI: 10.1080/00927872.2016.1251938
2013
Nonemptiness of Brill-Noether loci in <i>M</i>(2<i>, L</i>) (Journal article)
Lange, H., Newstead, P. E., & Strehl, V. (2015). Nonemptiness of Brill-Noether loci in <i>M</i>(2<i>, L</i>). INTERNATIONAL JOURNAL OF MATHEMATICS, 26(13). doi:10.1142/S0129167X15501086DOI: 10.1142/S0129167X15501086
Franco, E., Garcia-Prada, O., & Newstead, P. E. (2019). HIGGS BUNDLES OVER ELLIPTIC CURVES FOR COMPLEX REDUCTIVE GROUPS. GLASGOW MATHEMATICAL JOURNAL, 61(2), 297-320. doi:10.1017/S0017089518000228DOI: 10.1017/S0017089518000228
On linear series and a conjecture of D. C. Butler (Journal article)
Bhosle, U. N., Brambila-Paz, L., & Newstead, P. E. (2015). On linear series and a conjecture of D. C. Butler. INTERNATIONAL JOURNAL OF MATHEMATICS, 26(2). doi:10.1142/S0129167X1550007XDOI: 10.1142/S0129167X1550007X
On coherent systems with fixed determinant (Journal article)
Grzegorczyk, I., & Newstead, P. E. (2014). On coherent systems with fixed determinant. INTERNATIONAL JOURNAL OF MATHEMATICS, 25(5). doi:10.1142/S0129167X14500451DOI: 10.1142/S0129167X14500451
Franco, E., Garcia-Prada, O., & Newstead, P. E. (2013). Higgs bundles over elliptic curves. Illinois J.Math.58 (1) (2014), 43--96. Retrieved from http://arxiv.org/abs/1302.2881v1
Lange, H., & Newstead, P. E. (2013). Bundles computing Clifford indices on trigonal curves. Retrieved from http://arxiv.org/abs/1301.6474v2
2012
Lange, H., & Newstead, P. E. (2012). Bundles of rank 3 on curves of Clifford index 3. J. Symbolic Computation 57 (2013), 3-18. Retrieved from http://dx.doi.org/10.1016/j.jsc.2013.05.002
Lange, H., & Newstead, P. E. (2012). On bundles of rank 3 computing Clifford indices. Kyoto J. Math. 53, no. 1 (2013), 25-54. Retrieved from http://dx.doi.org/10.1215/21562261-1966062
Bundles of rank 2 with small Clifford index (Chapter)
Newstead, P. E. (2012). Bundles of rank 2 with small Clifford index. In C. Faber, G. Farkas, & R. de Jong (Eds.), Geometry and Arithmetic (pp. 267-281). Zurich: European Mathematical Society.
Introduction to Moduli Problems and Orbit Spaces (Book)
Newstead, P. E. (2012). Introduction to Moduli Problems and Orbit Spaces (Vol. 51). Mumbai: Narosa Publishing House.
2011
Logares, M., Muñoz, V., & Newstead, P. E. (2011). Hodge-Deligne polynomials of SL(2,C)-character varieties for curves of small genus. Retrieved from http://arxiv.org/abs/1106.6011v4
<i>Koszul cohomology and algebraic geometry</i>
(University Lecture Series 52) (Journal article)
Newstead, P. (2011). <i>Koszul cohomology and algebraic geometry</i> (University Lecture Series 52). Bulletin of the London Mathematical Society, 43(2), 411-414. doi:10.1112/blms/bdq134DOI: 10.1112/blms/bdq134
Existence of alpha-stable coherent systems on algebraic curves (Chapter)
Newstead, P. E. (2011). Existence of alpha-stable coherent systems on algebraic curves. In Grassmannians, Moduli Spaces and Vector Bundles (pp. 121-140). Providence RI: American Mathematical Society.
Lower bounds for Clifford indices in rank three (Journal article)
LANGE, H., & NEWSTEAD, P. E. (2011). Lower bounds for Clifford indices in rank three. Mathematical Proceedings of the Cambridge Philosophical Society, 150(1), 23-33. doi:10.1017/s0305004110000502DOI: 10.1017/s0305004110000502
2010
Lange, H., & Newstead, P. E. (2010). Vector bundles of rank 2 computing Clifford indices. Comm. in Algebra 41:6 (2013), 2317-2345. Retrieved from http://dx.doi.org/10.1080/00927872.2012.658532
Lange, H., & Newstead, P. E. (2010). Further examples of stable bundles of rank 2 with 4 sections. Retrieved from http://arxiv.org/abs/1011.0849v1
Grzegorczyk, I., Mercat, V., & Newstead, P. E. (2010). Stable bundles of rank 2 with 4 sections. Internat. J. Math. 22, no.12 (2011), 1743-1762. Retrieved from http://dx.doi.org/10.1142/S0129167X11007434
Generation of vector bundles computing Clifford indices (Journal article)
Lange, H., & Newstead, P. E. (2010). Generation of vector bundles computing Clifford indices. Archiv der Mathematik, 94(6), 529-537. doi:10.1007/s00013-010-0126-0DOI: 10.1007/s00013-010-0126-0
Lange, H., Mercat, V., & Newstead, P. E. (2010). On an example of Mukai. Glasgow Math. J. 54 (2012), 261-271. Retrieved from http://arxiv.org/abs/1003.4007v4
Vector Bundles and Complex Geometry (Book)
Garcia-Prada, O., Newstead, P. E., & others. (Eds.) (2010). Vector Bundles and Complex Geometry (Vol. 522). Providence RI: American Mathematical Society.
2009
Lange, H., & Newstead, P. E. (2009). Lower bounds for Clifford indices in rank three. Retrieved from http://arxiv.org/abs/0912.2618v1
Lange, H., & Newstead, P. E. (2009). Generation of vector bundles computing Clifford indices. Retrieved from http://arxiv.org/abs/0912.0815v2
Moduli Spaces of Coherent Systems of Small Slope on Algebraic Curves (Journal article)
Bradlow, S. B., García-Prada, O., Mercat, V., Muñoz, V., & Newstead, P. E. (2009). Moduli Spaces of Coherent Systems of Small Slope on Algebraic Curves. Communications in Algebra, 37(8), 2649-2678. doi:10.1080/00927870902747464DOI: 10.1080/00927870902747464
Geometric Invariant Theory (Chapter)
Newstead, P. E. (2009). Geometric Invariant Theory. In S. B. Bradlow, L. Brambila-Paz, & O. Garcia-Prada (Eds.), Moduli Spaces and Vectr Bundles (pp. 99-127). Cambridge: Cambridge University Press.
Moduli spaces of coherent systems of small slope (Journal article)
Bradlow, S. B., Garcia-Prada, O., Mercat, V., Munoz, V., & Newstead, P. E. (2009). Moduli spaces of coherent systems of small slope. Comm. in Algebra, 37(8), 2649-2978.
2008
Lange, H., & Newstead, P. E. (2008). Clifford indices for vector bundles on curves. Retrieved from http://arxiv.org/abs/0811.4680v3
Lange, H., & Newstead, P. E. (2008). Hodge polynomials and birational types of moduli spaces of coherent systems on elliptic curves. Retrieved from http://arxiv.org/abs/0810.1425v2
COHERENT SYSTEMS OF GENUS 0 III: COMPUTATION OF FLIPS FOR k = 1 (Journal article)
LANGE, H., & NEWSTEAD, P. E. (2008). COHERENT SYSTEMS OF GENUS 0 III: COMPUTATION OF FLIPS FOR k = 1. International Journal of Mathematics, 19(09), 1103-1119. doi:10.1142/s0129167x08005047DOI: 10.1142/s0129167x08005047
Biswas, I., Brambila-Paz, L., & Newstead, P. E. (2008). Stability of projective Poincare and Picard bundles. Bull. London Math. Soc. 2009. Retrieved from http://dx.doi.org/10.1112/blms/bdp017
2007
Bhosle, U. N., Brambila-Paz, L., & Newstead, P. E. (2007). On coherent systems of type (n,d,n+1) on Petri curves. Retrieved from http://arxiv.org/abs/0712.2215v1
Lange, H., & Newstead, P. E. (2007). Clifford's theorem for coherent systems. Retrieved from http://arxiv.org/abs/0707.4046v2
Lange, H., & Newstead, P. E. (2007). Coherent systems of genus 0, III: Computation of flips for k=1. Retrieved from http://arxiv.org/abs/0707.1466v2
ON THE GEOMETRY OF MODULI SPACES OF COHERENT SYSTEMS ON ALGEBRAIC CURVES (Journal article)
BRADLOW, S. B., GARCÍA-PRADA, O., MERCAT, V., MUÑOZ, V., & NEWSTEAD, P. E. (2007). ON THE GEOMETRY OF MODULI SPACES OF COHERENT SYSTEMS ON ALGEBRAIC CURVES. International Journal of Mathematics, 18(04), 411-453. doi:10.1142/s0129167x07004151DOI: 10.1142/s0129167x07004151
2006
Universal families on moduli spaces of principal bundles on curves (Journal article)
Balaji, V., Biswas, I., Nagaraj, D. S., & Newstead, P. E. (n.d.). Universal families on moduli spaces of principal bundles on curves. International Mathematics Research Notices. doi:10.1155/imrn/2006/80641DOI: 10.1155/imrn/2006/80641
Lange, H., & Newstead, P. E. (2006). Coherent systems of genus 0 II: Existence results for k\ge3. Retrieved from http://arxiv.org/abs/math/0601683v2
Balaji, V., Biswas, I., Nagaraj, D. S., & Newstead, P. E. (2006). Universal Families on moduli spaces of principal bundles on curves. Retrieved from http://arxiv.org/abs/math/0601168v1
On Clifford's theorem for rank-3 bundles (Journal article)
Lange, H., & Newstead, P. E. (2006). On Clifford's theorem for rank-3 bundles. REVISTA MATEMATICA IBEROAMERICANA, 22(1), 287-304. Retrieved from https://www.webofscience.com/
2005
'Algebraic Quotients. Torus Actions. The Adjoint Representation and the Adjoint Action' (Journal article)
Newstead, P. E. (2005). 'Algebraic Quotients. Torus Actions. The Adjoint Representation and the Adjoint Action'. Unknown Journal, 107(4), 25-27.
2004
Lange, H., & Newstead, P. E. (2004). On Poincare bundles of vector bundles on curves. Retrieved from http://arxiv.org/abs/math/0411573v1
Lange, H., & Newstead, P. E. (2004). Coherent Systems on Elliptic curves. Retrieved from http://arxiv.org/abs/math/0411064v3
2003
Lange, H., & Newstead, P. E. (2003). Coherent systems of genus 0. Retrieved from http://arxiv.org/abs/math/0311239v1
Lange, H., & Newstead, P. E. (2003). On Clifford's theorem for rank-3 bundles. Retrieved from http://arxiv.org/abs/math/0310463v1
Coherent Systems and Brill–Noether Theory (Journal article)
Bradlow, S. B., García-Prada, O., Muñoz, V., & Newstead, P. E. (2003). Coherent Systems and Brill–Noether Theory. International Journal of Mathematics, 14(07), 683-733. doi:10.1142/s0129167x03002009DOI: 10.1142/s0129167x03002009
Biswas, I., Brambila-Paz, L., & Newstead, P. E. (2003). Deformations of the generalised Picard bundle. Retrieved from http://arxiv.org/abs/math/0308292v1
2002
Lange, H., & Newstead, P. E. (2002). Maximal Subbundles and Gromov-Witten Invariants. Retrieved from http://arxiv.org/abs/math/0204216v2
2001
ON CLIFFORD'S THEOREM FOR VECTOR BUNDLES ON ALGEBRAIC CURVES (Journal article)
Ballico, E., & Newstead, P. E. (2001). ON CLIFFORD'S THEOREM FOR VECTOR BUNDLES ON ALGEBRAIC CURVES. Communications in Algebra, 29(8), 3223-3237. doi:10.1081/agb-100105018DOI: 10.1081/agb-100105018
2000
NONEMPTINESS OF BRILL–NOETHER LOCI (Journal article)
BRAMBILA-PAZ, L., MERCAT, V., NEWSTEAD, P. E., & ONGAY, F. (2000). NONEMPTINESS OF BRILL–NOETHER LOCI. International Journal of Mathematics, 11(06), 737-760. doi:10.1142/s0129167x00000350DOI: 10.1142/s0129167x00000350
1999
NONEMPTINESS OF BRILL-NOETHER LOCI IN <i>M</i> (2, <i>K</i>) (Journal article)
Lange, H., Newstead, P. E., & Park, S. S. (2016). NONEMPTINESS OF BRILL-NOETHER LOCI IN <i>M</i> (2, <i>K</i>). COMMUNICATIONS IN ALGEBRA, 44(2), 746-767. doi:10.1080/00927872.2014.990020DOI: 10.1080/00927872.2014.990020
1998
On the cohomology ring of the moduli space of rank 2 vector bundles on a curve (Journal article)
King, A. D., & Newstead, P. E. (1998). On the cohomology ring of the moduli space of rank 2 vector bundles on a curve. Topology, 37(2), 407-418. doi:10.1016/s0040-9383(97)00041-4DOI: 10.1016/s0040-9383(97)00041-4
1997
Geography of Brill-Noether loci for small slopes (Journal article)
Brambila-Paz, L., Grzegorczyk, I., & Newstead, P. E. (1997). Geography of Brill-Noether loci for small slopes. Journal of Algebraic Geometry, 6(4), 645-669.
Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve (Journal article)
Balaji, V., King, A. D., & Newstead, P. E. (1997). Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve. Topology, 36(2), 567-577. doi:10.1016/0040-9383(96)00007-9DOI: 10.1016/0040-9383(96)00007-9
Stability of the Poincaré Bundle (Journal article)
Balaji, V., Brambila‐Paz, L., & Newstead, P. E. (1997). Stability of the Poincaré Bundle. Mathematische Nachrichten, 188(1), 5-15. doi:10.1002/mana.19971880102DOI: 10.1002/mana.19971880102
1995
Paz, L. B., Grzegorczyk, I., & Newstead, P. E. (1995). Geography of Brill-Noether loci for small slopes. Retrieved from http://arxiv.org/abs/alg-geom/9511003v1
Balaji, V., Paz, L. B., & Newstead, P. E. (1995). Stability of the Poincaré bundle. Retrieved from http://arxiv.org/abs/alg-geom/9506011v1
1986
On the geometry of the planar 4-bar mechanism (Journal article)
Gibson, C. G., & Newstead, P. E. (1986). On the geometry of the planar 4-bar mechanism. Acta Applicandae Mathematicae, 7(2), 113-135. doi:10.1007/bf00051348DOI: 10.1007/bf00051348
1985
Uniform Bundles on Quadric Surfaces and Some Related Varieties (Journal article)
Ballico, E., & Newstead, P. E. (1985). Uniform Bundles on Quadric Surfaces and Some Related Varieties. Journal of the London Mathematical Society, s2-31(2), 211-223. doi:10.1112/jlms/s2-31.2.211DOI: 10.1112/jlms/s2-31.2.211
1984
On the relations between characteristic classes of stable bundles of rank 2 over an algebraic curve (Journal article)
Newstead, P. E. (n.d.). On the relations between characteristic classes of stable bundles of rank 2 over an algebraic curve. Bulletin of the American Mathematical Society, 10(2), 292-294. doi:10.1090/s0273-0979-1984-15252-2DOI: 10.1090/s0273-0979-1984-15252-2
1983
A Space Curve whose Normal Bundle is Stable (Journal article)
Newstead, P. E. (1983). A Space Curve whose Normal Bundle is Stable. Journal of the London Mathematical Society, s2-28(3), 428-434. doi:10.1112/jlms/s2-28.3.428DOI: 10.1112/jlms/s2-28.3.428
On the Plane Sections of a Quadric Hypersurface (Journal article)
Newstead, P. E. (1983). On the Plane Sections of a Quadric Hypersurface. Bulletin of the London Mathematical Society, 15(3), 226-228. doi:10.1112/blms/15.3.226DOI: 10.1112/blms/15.3.226
Pencils on Conic Bundles (Journal article)
Newstead, P. E. (1983). Pencils on Conic Bundles. Journal of the London Mathematical Society, s2-27(1), 19-28. doi:10.1112/jlms/s2-27.1.19DOI: 10.1112/jlms/s2-27.1.19
1982
ON THE COHOMOLOGY AND THE PICARD GROUP OF A MODULI SPACE OF BUNDLES ON P<sup>3</sup> (Journal article)
NEWSTEAD, P. E. (1982). ON THE COHOMOLOGY AND THE PICARD GROUP OF A MODULI SPACE OF BUNDLES ON P<sup>3</sup>. The Quarterly Journal of Mathematics, 33(3), 349-355. doi:10.1093/qmath/33.3.349DOI: 10.1093/qmath/33.3.349
Covariants of pencils of binary cubics (Journal article)
Newstead, P. E. (1982). Covariants of pencils of binary cubics. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 91(3-4), 181-183. doi:10.1017/s0308210500017431DOI: 10.1017/s0308210500017431
Quadratic complexes. II (Journal article)
Newstead, P. E. (1982). Quadratic complexes. II. Mathematical Proceedings of the Cambridge Philosophical Society, 91(2), 183-206. doi:10.1017/s0305004100059247DOI: 10.1017/s0305004100059247
1981
Comparison theorems for conic bundles (Journal article)
Newstead, P. E. (1981). Comparison theorems for conic bundles. Mathematical Proceedings of the Cambridge Philosophical Society, 90(1), 21-31. doi:10.1017/s0305004100058497DOI: 10.1017/s0305004100058497
Invariants of pencils of binary cubics (Journal article)
Newstead, P. E. (1981). Invariants of pencils of binary cubics. Mathematical Proceedings of the Cambridge Philosophical Society, 89(2), 201-209. doi:10.1017/s0305004100058102DOI: 10.1017/s0305004100058102
Real classification of complex conics (Journal article)
Newstead, P. E. (1981). Real classification of complex conics. Mathematika, 28(1), 36-53. doi:10.1112/s0025579300015333DOI: 10.1112/s0025579300015333
1980
Rationality of moduli spaces of stable bundles (Journal article)
Newstead, P. E. (1980). Rationality of moduli spaces of stable bundles. Mathematische Annalen, 249(3), 281-282. doi:10.1007/bf01363901DOI: 10.1007/bf01363901
The fundamental group of a moduli space of bundles on P3 (Journal article)
Newstead, P. E. (1980). The fundamental group of a moduli space of bundles on P3. Topology, 19(4), 419-426. doi:10.1016/0040-9383(80)90024-5DOI: 10.1016/0040-9383(80)90024-5
1975
Rationality of moduli spaces of stable bundles (Journal article)
Newstead, P. E. (1975). Rationality of moduli spaces of stable bundles. Mathematische Annalen, 215(3), 251-268. doi:10.1007/bf01343893DOI: 10.1007/bf01343893
1973
A Non-Existence Theorem for Families of Stable Bundles (Journal article)
Newstead, P. E. (1973). A Non-Existence Theorem for Families of Stable Bundles. Journal of the London Mathematical Society, s2-6(2), 259-266. doi:10.1112/jlms/s2-6.2.259DOI: 10.1112/jlms/s2-6.2.259
1972
Characteristic classes of stable bundles of rank 2 over an algebraic curve (Journal article)
Newstead, P. E. (n.d.). Characteristic classes of stable bundles of rank 2 over an algebraic curve. Transactions of the American Mathematical Society, 169(0), 337-345. doi:10.1090/s0002-9947-1972-0316452-9DOI: 10.1090/s0002-9947-1972-0316452-9
1968
Stable bundles of rank 2 and odd degree over a curve of genus 2 (Journal article)
Newstead, P. E. (1968). Stable bundles of rank 2 and odd degree over a curve of genus 2. Topology, 7(3), 205-215. doi:10.1016/0040-9383(68)90001-3DOI: 10.1016/0040-9383(68)90001-3
1967
Topological properties of some spaces of stable bundles (Journal article)
Newstead, P. E. (1967). Topological properties of some spaces of stable bundles. Topology, 6(2), 241-262. doi:10.1016/0040-9383(67)90037-7DOI: 10.1016/0040-9383(67)90037-7
1964
Reducible vector bundles on a quadric surface (Journal article)
Newstead, P. E., & Schwarzenberger, R. L. E. (1964). Reducible vector bundles on a quadric surface. Mathematical Proceedings of the Cambridge Philosophical Society, 60(3), 421-424. doi:10.1017/s0305004100037920DOI: 10.1017/s0305004100037920