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Paul Dobson

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  • Deprecated function: Return type of DatabaseStatementBase::execute($args = [], $options = []) should either be compatible with PDOStatement::execute(?array $params = null): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2244 of /home/maxwell/public_html/migsaa/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/maxwell/public_html/migsaa/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/maxwell/public_html/migsaa/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/maxwell/public_html/migsaa/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/maxwell/public_html/migsaa/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/maxwell/public_html/migsaa/includes/database/database.inc).
  • Deprecated function: Optional parameter $data declared before required parameter $info is implicitly treated as a required parameter in include_once() (line 1389 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in drupal_random_bytes() (line 2268 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: Return type of DateObject::__wakeup() should either be compatible with DateTime::__wakeup(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 143 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/date/date_api/date_api.module).
  • Deprecated function: Return type of DateObject::format($format, $force = false) should either be compatible with DateTime::format(string $format): string, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 143 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/date/date_api/date_api.module).
  • Deprecated function: Return type of DateObject::setTimezone($tz, $force = false) should either be compatible with DateTime::setTimezone(DateTimeZone $timezone): DateTime, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 143 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/date/date_api/date_api.module).
  • Deprecated function: Optional parameter $data declared before required parameter $name is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $data declared before required parameter $name is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $file declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $account declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $entity declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $account declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $values declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $view_mode declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $langcode declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $terms declared before required parameter $node is implicitly treated as a required parameter in include_once() (line 1389 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: Optional parameter $args declared before required parameter $node is implicitly treated as a required parameter in include_once() (line 1389 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: Optional parameter $checkbox declared before required parameter $input is implicitly treated as a required parameter in include_once() (line 1389 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: rtrim(): Passing null to parameter #1 ($string) of type string is deprecated in url() (line 2349 of /home/maxwell/public_html/migsaa/includes/common.inc).
  • Deprecated function: Optional parameter $base_table declared before required parameter $options is implicitly treated as a required parameter in include_once() (line 3492 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: Optional parameter $base_field declared before required parameter $options is implicitly treated as a required parameter in include_once() (line 3492 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: Return type of RulesRecursiveElementIterator::hasChildren() should either be compatible with RecursiveIterator::hasChildren(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 2088 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/rules/includes/rules.core.inc).
  • Deprecated function: Return type of RulesRecursiveElementIterator::getChildren() should either be compatible with RecursiveIterator::getChildren(): ?RecursiveIterator, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 2088 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/rules/includes/rules.core.inc).
  • Deprecated function: Return type of RulesContainerPlugin::getIterator() should either be compatible with IteratorAggregate::getIterator(): Traversable, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 2102 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/rules/includes/rules.core.inc).
  • Deprecated function: strpos(): Passing null to parameter #1 ($haystack) of type string is deprecated in url_is_external() (line 2393 of /home/maxwell/public_html/migsaa/includes/common.inc).
  • Deprecated function: str_replace(): Passing null to parameter #3 ($subject) of type array|string is deprecated in url_is_external() (line 2395 of /home/maxwell/public_html/migsaa/includes/common.inc).
  • Deprecated function: ltrim(): Passing null to parameter #1 ($string) of type string is deprecated in url() (line 2311 of /home/maxwell/public_html/migsaa/includes/common.inc).

People Details

Position: 
Alumnus, HERIOT-WATT UNIVERSITY
Location: 
MIGSAA

Research interests:  Stochastic analysis

In his first year Paul studied the long time behaviour of degenerate diffusion process for his extended project and was supervised by Dr Michela Ottobre. For his PhD, Paul continues working with Dr Ottobre and studying the behaviour of degenerate diffusion processes. Previous to his time at MIGSAA, Paul obtained an MMath from the University of Oxford. As part of his undergraduate degree he wrote a dissertation studying the behaviour of a large pool of stochastic volatility models. Throughout his undergraduate degree he focused on Analysis courses, he particularly enjoyed stochastic analysis courses. He also enjoys playing tennis.

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